Relations and Functions – Class Work Name _________________________________Is the relation a function?1. {(1,2 ) , (3,4 ) , (5,6 ) } 2. {(4,3 ) , (3,2 ) , (4,2 ) } 3. {(5,1 ) , (3,1 ) , (−4,1 ) }

4. 5. 6.

7. 8. 9.

10. 11.

12. 13.

Alg II – Functions ~1~ NJCTL.org

Relations and Functions – Home WorkIs the relation a function?14. {(3,1 ) , (−2,6 ) , (1,4 ) } 15. {(1,2 ) , (2,2 ) , (1,2 ) } 16. {(2,1 ) , (5,1 ) , (−6,7 ) }

17. 18. 19.

20. 21. 22.

23. 24.

25. 26.

Spiral ReviewSimplify each of the following

Alg II – Functions ~2~ NJCTL.org

27. (x4 )−3 ∙2x 4 28. 2x2 y4 ∙ 4 x2 y4 ∙3x

3 x−3 y229.

(2 x3 z2 )3

x3 y4 z2 ∙ x−4 z3Evaluating Functions – Class Work Name _________________________________

Find the following:30. If

f ( x )=3 x+4 ,Find f (2 )31. If

f ( x )=−√x−3 ,Find f (19)If

32. If h ( x )=|x−4|,Find h (−6 )

33. If g ( x )=3 x3 , Find g (−2 )

34. If f ( x )=2x2−2 ,Find f (2−a )

35. If h ( x )=( x−2 )2+2 ,Find h(2b+1)

36. If g ( x )=2 x2− x , Find g (m−2 )

37. If

f ( x )= 12 x+3

, Find f (4 x2)

Evaluating Functions – Home Work

Find the following:38. If

f ( x )= (x−1 )2 , Find f (−5 )39. If

f ( x )=−|2 x−3|,Find f (−4 )If

40. If h ( x )=x3−1 ,Find h (−2 )

41. If g ( x )=−2 x2−1, Find g (4 )

42. If f ( x )=−3x+2 , Find f (− x−6 )

43. If h ( x )=(2 x−1 )2 ,Find h(1−2 p)

44. If g ( x )=x3−x ,Find g (a2 )

45. If

f ( x )= 8x2, Find f (2m)

Alg II – Functions ~3~ NJCTL.org

Spiral ReviewMultiply each of the following

46. (4 x+1)(2 x+6) 47. (7 x−6)(5 x+6) 48. (x2+6 x−4 )(2x−4)Interval and Inequality Notation – Class Work Name _________________________________Give the interval and inequality notation for each graph.

49.

50.

51.

52.

53.

54.

55.

56.

57.

58.

Alg II – Functions ~4~ NJCTL.org

Interval and Inequality Notation – HomeworkGive the interval and inequality notation for each graph.

59.

60.

61.

62.

63.

64.

65.

66.

67.

68.

Alg II – Functions ~5~ NJCTL.org

Spiral ReviewSimplify each of the following

69. ¿70.

6 x2 y2

3x−1 ∙4 yx271.

(2 pm−1q0 )−42m−1 p3

2 pq2Discrete vs. Continuous – Class Work Name _________________________________

Is the relation discrete or continuous? If continuous, state the interval of continuity.72. {(1,2 ) , (3,4 ) , (5,6 ) } 73. {(4,3 ) , (3,2 ) , (4,2 ) } 74. {(5,1 ) , (3,1 ) , (−4,1 ) }

75. 76. 77.

78. 79. 80.

81. 82.

83. 84.

Alg II – Functions ~6~ NJCTL.org

Discrete vs. Continuous – Home Work

Is the relation discrete or continuous? If continuous, state the interval of continuity.85. {(3,1 ) , (−2,6 ) , (1,4 ) } 86. {(1,2 ) , (2,2 ) , (1,2 ) } 87. {(2,1),(5,1) ,(−6,7)}

88. 89. 90.

91. 92. 93.

94. 95.

Alg II – Functions ~7~ NJCTL.org

96. 97.

Domain and Range – Class Work Name _________________________________Find the domain and range for each of the following. Write your answers in interval notation where

appropriate.

98. {(1,2 ) , (3,4 ) , (5,6 ) } 99. {(4,3 ) , (3,2 ) , (4,2 ) } 100.

101. 102. 103.

104. 105. 106.

For some functions below, you may need to use a graphing calculator or on an online program(like desmos.com) to find the range.

107. f ( x )=−23x−3 108. g ( x )=√2−x 109. h ( x )= 1

√2x−5

Alg II – Functions ~8~ NJCTL.org

110. g ( x )=−|x−2| 111. f ( x )=(x−2)3+1 112. h ( x )=|x2|

Domain and Range – Home WorkFind the domain and range for each of the following. Write your answers in interval notation where

appropriate.

113. {(3,1 ) , (−2,6 ) , (1,4 ) } 114. {(1,2 ) , (2,2 ) , (1,2 ) } 115.

116. 117. 118.

119. 120. 121.

For some functions below, you may need to use a graphing calculator or on an online program

Alg II – Functions ~9~ NJCTL.org

(like desmos.com) to find the range.

122. h ( x )=−23x2

123. g ( x )=−√2x−1 124. f ( x )= 1√3 x−2

125. h ( x )=3 x2−x+2 126. f ( x )=2 x−35 127. g ( x )= −2x

√3 x+4

Operations with Functions Name _________________________________Class Work

Given: and

109. Given thatf ( x )=3 x2−4, g ( x )=|3 x−2|−1, and h ( x )= f (x )+g ( x ).Find: a) h(x) b) h(2) c) h(0) d) the domain of h(x)

110. Given that f ( x )= (2x−3 ) , g ( x )=−3 x2, and h ( x )= f (x ) g (x ).Find: a) h(x) b) h(-2) c) h(1) d) the domain of h(x)

111. Given that f ( x )=√x−3 , g ( x )=−2 x2, and h ( x )= f ( x )g (x )

.

Find: a) h(x) b) h(2a) c) h(m - 2) d) the domain of h(x)

Alg II – Functions ~10~ NJCTL.org

112. Given that f ( x )=2−x , g ( x )=3 x−2 , and h ( x )=2 f ( x )−3 g ( x ).Find: a) h(x) b) h(-4p) c) h(1 - k) d) the domain of h(x)

113. Given that f ( x )=3 x+1, g ( x )=√ x−2 h ( x )= f (x )(g( x))2

Find: a) h(x) b) h(2a) c) h(1 - p) d) the domain of h(x)

Operations with FunctionsHomework 118. Given f ( x )=√x+5 , g ( x )=(2 x+1 )2 and h ( x )=f (x )−g ( x )Find: a) h(x) b) h(4) c) h(-5) d) the domain of h(x)

119. Given f ( x )=2−x, g ( x )=4−x and h ( x )=g(x ) f ( x )Find: a) h(x) b) h(2) c) h(0) d) the domain of h(x)

120. Given f ( x )=√x−5 , g ( x )=|x+2| and h ( x )=g (x )f ( x )

Find: a) h(x) b) h(30) c) h(3k - 2) d) the domain of h(x)

Alg II – Functions ~11~ NJCTL.org

121. Given f ( x )=−2x3−1 , g ( x )=2 x2− x and h ( x )=5 f ( x )−2 g ( x )Find: a) h(x) b) h(a2) c) h(- m) d) the domain of h(x)

122. Given f ( x )=2x−3 , g ( x )=√2−3 x, and h ( x )= −f (x )(g( x))2

Find: a) h(x) b) h(1 - x) c) h(2b) d) the domain of h(x)

Spiral Review123. Graph: 124. Graph: 125. Factor: 126. Multiply: y=−|x−3|+5 y=√−x+2−4 16x2 – 81 (2x + 3)(4x2 + 2)

Composite Functions Name _________________________________Class Work

127. f ( x )=3 x−2; g ( x )=−2 x+4Find: a) g∘ f b) (g∘ f )(−3)

128. f ( x )=x2+1 ;g ( x )=5 x−1Find: a) f(g(x)) b) f(g(0)).

129. f ( x )= 2x−2

; g ( x )=2 x2−9

Alg II – Functions ~12~ NJCTL.org

Find: a) f ∘ g b) ( f ∘ g)(6)

130. f ( x )= xx2−1

+3; g ( x )=√x+2

Find: a) f(g(x)) b) f(g(-2)).

131. f ( x )=x3 ; g (x )=|x−1|Find: a) g∘ f b) (g∘ f )(−2)

Composite FunctionsHomework

132. f ( x )=−12x+3 ; g ( x )=−4 x+2

Find: a) g∘ f b) (g∘ f )(2)

133. f ( x )=2x2−5 ; g ( x )=2x+3Find: a) f(g(x)) b) f(g(-1))

Alg II – Functions ~13~ NJCTL.org

134. f ( x )= −1x+2

; g ( x )=3 x2−10

Find: a) f(g(x)) b) f(g(0))

135. f ( x )= xx2+4

+3 ; g ( x )=√2−x

Find: a) f(g(x)) b) f(g(-3))

136. f ( x )=x2−4 ; g ( x )=|x−1|Find: a) g∘ f b) (g∘ f )(3)

Spiral Review137. Graph: 138. Graph: 139. Simplify: 140. Multiply:

y=−log (x+3) y=2 ( x+2 )2−4 −5 x3 y−3

25x−7 y−2 (-2m2n3)(-8m5n4)

Inverse Functions Name _________________________________Class Work (2 pages)

141. f ( x )=3 x−2i) Given f(x), find f-1(x)

ii) Algebraically show that f(f-1(x)) = f-1(f(x)) = x.

iii) Graph f(x) and f-1(x) on the same graph.

Alg II – Functions ~14~ NJCTL.org

iv) Describe the domain and range for f -1(x).

142. f ( x )=2x2+1∗domain is restricted ¿¿ i) Given f(x), find f-1(x)

ii) Algebraically show that f(f-1(x)) = f-1(f(x)) = x.

iii) Graph f(x) and f-1(x) on the same graph.

iv) Describe the domain and range for f -1(x).

143. f ( x )= 3√1−x2∗domain isrestricted ¿¿ i) Given f(x), find f-1(x)

ii) Algebraically show that f(f-1(x)) = f-1(f(x)) = x.

iii) Graph f(x) and f-1(x) on the same graph.

Alg II – Functions ~15~ NJCTL.org

iv) Describe the domain and range for f -1(x).

144. f ( x )= 34 x−2

i) Given f(x), find f-1(x)

ii) Algebraically show that f(f-1(x)) = f-1(f(x)) = x.

iii) Graph f(x) and f-1(x) on the same graph.

iv) Describe the domain and range for f -1(x).

Spiral Review

145. Find: f ◦ g 146. Factor: 147. Simplify 148. Graph:If g(x) = x2 + 2 16x2 –25y2 (-2x3y2)4 y=−|3 x|+2and f(x) = (x – 1)2

Inverse FunctionsHomework (2 pages)

149. f ( x )=5 x+2i) Given f(x), find f-1(x)

ii) Algebraically show that f(f-1(x)) = f-1(f(x)) = x.

Alg II – Functions ~16~ NJCTL.org

iii) Graph f(x) and f-1(x) on the same graph.

iv) Describe the domain and range for f -1(x).

150. f ( x )=23x2−6∗domainis restricted ¿¿

i) Given f(x), find f-1(x)

ii) Algebraically show that f(f-1(x)) = f-1(f(x)) = x.

iii) Graph f(x) and f-1(x) on the same graph.

iv) Describe the domain and range for f -1(x).

151. f ( x )=√x−4i) Given f(x), find f-1(x)

ii) Algebraically show that f(f-1(x)) = f-1(f(x)) = x.

iii) Graph f(x) and f-1(x) on the same graph.

Alg II – Functions ~17~ NJCTL.org

iv) Describe the domain and range for f -1(x).

152. f ( x )=−3x+2i) Given f(x), find f-1(x)

ii) Algebraically show that f(f-1(x)) = f-1(f(x)) = x.

iii) Graph f(x) and f-1(x) on the same graph.

iv) Describe the domain and range for f -1(x).

Alg II – Functions ~18~ NJCTL.org

Unit Review

Multiple Choice – Determine the best answer for each question.1. Determine the domain of {(1,3 ) , (5,6 ) , (6,8 ) }a. {1 ,5 ,8 } b. {1 ,5 ,6 } c. {3 ,6 ,8 } d. Set of Reals

2. Determine the range of f ( x )=|x−2|+3.

a. [3 ,∞ ] b. [1 ,∞) c. (1 ,∞ ) d. (3 ,∞ )

3. What is the domain of the graph to the right?

a. −10≤x ≤10

b. −10<x<10c. −6≤ x≤−2 or 0≤ x≤−6d. −10≤x ≤−4 or −2≤x ≤4 or 6≤ x≤10

4. Which choice represents a discrete set?a. The time it takes people to tie their shoes. b. The amount of rain in a given week.

c. The number of people attending a play. d. The number of rotations of a wheel.

5. Which of the following is a function?a. x2+ y2=4 b. x+ y2=4 c. x2+ y=4 d. 4 x2+ y2=4

6. f ( x )=3 x2−2 , g ( x )=4−x , and h ( x )=f (x )−g ( x ) . h(3) =a. 78b. 26c. 24d. 18

7. f ( x )=3 x2−2 , g ( x )=4−2 x, and h ( x )=f (x )/ g ( x ) . h(3) =a. -50b. -25c. 25d. -12.5

8. f ( x )=¿ , g ( x )=5−4 x, and h ( x )=f (x ) g (x ) . h(3) =a. -539b. -161c. -7d. 7

9. f ( x )=3 x2−2 , g ( x )=4−x , and h ( x )= f (g ( x )) . h(3) =a. -5b. -3

Alg II – Functions ~19~ NJCTL.org

c. -1d. 1

10. f ( x )=3 x2−2 , g ( x )=4−x , and h ( x )=g( f (x )) . h(2a + 1) =

a. −12a2−12a+3b. 25−36a+12a2

c. −6a2+5d. 12a2+3

11. Given f ( x )=2x3−2, find f−1 (8 )a. -1022b. 3√5c.

12

d. 2

12. Given f ( x )=2x3−2 and f−1 (a )=−3, find a.a. -27b. −3√3c. -56d. undefined

Short Constructed Response13) Evaluate the function at all of the given points. y=2√ x−9+3a) f(25) b) f(9) c) f(10) d) f(3x – 4)

14) Find f +g , f – g , fg∧f / g for the following functions. Then, find their domain.

f ( x )=x−1, g(x) = 3x2 + 2

15) Evaluate the function for f(x) = x2 – 1 and g(x) = x + 2

a) (f + g)(2) b) (f – g)(-1) c) (fg)(3) d) (f/g)(0)

Alg II – Functions ~20~ NJCTL.org

16) Find f ◦ g and g ◦ f:

a) f(x) = x2, g(x) = x + 3 b) f(x) = 2x – 5, g(x) = x2 + 2

17) Determine whether the function has an inverse function. If it does, find the inverse function.

a) f(x) = 3x2 *domain restricted to [0, ∞) b) f ( x )= 3√x+1

c) f(x) = 1/x d) f(x) = 2x + 3

Extended Response18. f ( x )=(x−2)3+4i) Given f(x), find f-1(x)

ii) Algebraically show that f(f-1(x)) = f-1(f(x)) = x.

iii) Using technology to help you, graph f(x) and f-1(x) on the same graph.

iv) Describe the domain and range for f -1(x).

Alg II – Functions ~21~ NJCTL.org

Alg II – Functions ~22~ NJCTL.org

Relations and FunctionsClasswork1. Function

2. Not a Function

3. Function

4. Function

5. Function

6. Not a Function

7. Not a Function

8. Not a Function

9. Function

10. Function

11. Function

12. Function

13. Not a Function

Relations and FunctionHomework14. Function

15. Function

16. Function

17. Function

18. Not a Function

19. Not a Function

20. Function

21. Not a Function

22. Not a Function

23. Function

24. Not a Function

25. Function

26. Function27. 28. 29. Evaluating FunctionsClass Work30. f (2 )=10

31. f (19 )=−4

32. h (−6 )=10

33. g (−2 )=−24

34. f (2−a )=2a2−8a+6

35. h (2b+1 )=4b2−4 b+3

36. g (m−2 )=2m2−9m+10

37. f (4 x2 )= 18 x2+3

Evaluating FunctionsClass Work

38. f (−5)=36

39. f (−4 )=−1140. h (−2 )=−941. g (4 )=−3342. f (−x−6 )=3 x+2043. h (1−2 p )=16 p2−8 p+1

44. g (a2 )=a6−a2

45. f (2m )= 2m2

46. 8 x2+26 x+6

47. 35 x2+12 x−3648. 2 x3+8 x2−32 x+16

Interval and Inequality NotationClasswork

49. [1 ,∞)x≥1

50. (−∞,−3 )x←3

51. [−2 ,6 ]−2≤x ≤652. [−3 ,1 )−3≤x<1

53. (1 ,9 )1<x<9

54. (−∞,0 ]x≤055. ¿x≥0

56. [−8 ,−4 ]∨¿−8≤x ≤−4 or x≥2

57. (−∞,−7 ]∨(−5 ,∞ )x≤−7∨x>−5

58. (−∞,−5 ]∨(4 ,∞ )x≤−5∨x>4

Interval and Inequality NotationHomework59. [−4 ,∞ )x≥−4

60. (−∞,2 )x<2

61. [−5 ,3 ]−5≤x ≤362. [2 ,6 )2≤x<6

63. (−8 ,0 )−8<x<0

64. (−∞,5 ]x≤565. [−9 ,∞ )x≥−9

66. [−4 ,0 ]∨(5 ,∞)−4≤ x≤0

or x>5

67. (−∞,−4 )∨(2 ,∞ )x<−4∨x>2

68. (−6 ,0 ]∨(3 ,∞ )−6<x ≤0∨x>3

Spiral Review

69. 1x20

70. 2 xy

71. 16x6

y5 z2

Discrete vs. ContinuousClasswork72. Discrete

73. Discrete

74. Discrete

75. Discrete

76. Discrete

77. Discrete

78. Discrete

79. Discrete

80. Discrete

Alg II – Functions ~23~ NJCTL.org

81. Discrete

82. Continuous[−4 ,∞ )

83. Continuous(−∞,−2 ]∨[2,∞ )

84. ContinuousAll Real Numbers

Discrete vs. ContinuousHomework85. Discrete

86. Discrete

87. Discrete

88. Discrete

89. Discrete

90. Discrete

91. Discrete

92. Discrete

93. Discrete

94. Discrete

95. Continuous[−6 ,6]

96. Continuous[−8 ,0 )

97. ContinuousAll Real Numbers

Domain And RangeClasswork98. D : {1 ,3 ,5 }R : {2 ,4 ,6 }99. D : {3,4 }R : {2 ,3 }

100. D : {−4 ,0 ,2 }R : {3 ,4 ,5 }

101. D : {4 ,5 ,6 }R : {6 }

102. D : {−2 ,−1 ,2,3 }R : {0 ,3 ,4 ,5 ,7 }

103. D : {1 ,2 }R : {3 ,4 ,5 ,6 }104. D : x≤−2∨x>2R :All Real Numbers

105. D :All Real NumbersR : y≥2

106. D :All Real NumbersR :All Real Numbers

107. D :All Real NumbersR :All Real Numbers

108. D : x≤2R : y≥0

109. D : x> 52

R :2.24> y>0(approximately)110. D : All Real Numbers R : y≤0111. D : All Real Numbers R :All Real Numbers112. D : All Real Numbers R : y≥0

Domain And RangeClasswork113. D : {−2 ,1 ,3 }R : {1 ,4 ,6 }

114. D : {1 ,2 }R : {2 }

115. D : {−1 ,0 ,1 }R : {6 ,7 ,8 }

116. D : {2 ,4 }R : {6 ,7 ,8 }

117. D : {3 ,4 ,5 ,6 }R : {1 ,2 ,3 ,4 }

118. D : {5 }R : {0 ,1,2 ,3 }

119. D : {−4 ,−2 ,2 ,4 ,5 }R : {−3 ,2 ,4 ,5 }

120. D :−6≤x≤6R :−6≤ y ≤6

121. D : x≥−2 R :All Real Numbers

122. D : x≠0R : y<0

123.

124. 125. (4x-9)(4x+9)126. 8 x3+12x2+4 x+6127. a) −6 x+8 b) 26128. a) 25 x2−10 x+2 b) 2

129. a) 2

2x2−11

b) 261

130. a) √x+2x+1

b) 0

131. a) |x3−1| b) 9

132. a) 2x - 10

b) 10

133. a) 8 x2+24 x+13 b) -3

134. a) −13x2−8

b) 18

135. a) √2−x6−x

+3

b) √59

+3

136. a) |x2−5| b) 4

Alg II – Functions ~24~ NJCTL.org

137.

138.

139. −x10

5 y140. 16m7n7

141. i ¿ f−1 ( x )= x+23

ii¿ f ( f−1 ( x ))=3( x+23 )−2¿ x+2−2=x

f−1 ( f ( x ) )= (3 x−2 )+23

=3 x3

=x

iii) iv) The domain and range are both the set of all real numbers.

142. i ¿ f−1 ( x )=√ x−12ii¿ f ( f−1 ( x ))=2(√ x−12 )

2

+1=2( x−12 )+1=x−1+1=xf−1 ( f ( x ) )=√ (2x2+1 )−1

2=√ 2x22 =x

iii) iv) D : x≥1 ,R : y ≥0

143. i ¿ f−1 ( x )=√1−x3

ii¿ f ( f−1 ( x ))=3√1−(√1−x3 )2=3√1−(1−x3 )= 3√ x3=x

f−1 ( f ( x ) )=√1−( 3√1−x2 )3=¿

√1−(1−x2 )=√ x2= x

iii) , dashed line is f-1, dotted line is f. iv) D : x≤1, R : y ≥0

144. i ¿ f−1 ( x )= 34 x

+ 12

ii¿ f ( f−1 ( x ))= 3

4 ( 34 x + 12 )−2=¿

33x+2−2

= 33x

=x

Alg II – Functions ~25~ NJCTL.org

f−1 ( f ( x ) )= 3

4 ( 34 x−2 )

+ 12=¿

3124 x−2

+ 12=¿

3 (4 x−2 )12

+12=¿

12x−6+612

=x

iii) , dashed line

is f.

iv) D : x≠0 ,R : y ≠ 12

145. f ∘ g=x4+2 x2+1146. (4 x−5 y)(4 x+5 y)

147. 16 x12 y8

148.

149. i ¿ f−1= x−25

ii¿ f ( f−1 ( x ))=5( x−25 )+2=¿

x−2+2=x

f−1 ( f ( x ) )=5x+2−25=x

iii)

iv) D : (−∞ ,∞ ) , R :(−∞,∞ )

150. i ¿ f ¿−1 ( x )=√ 32 x+9ii¿ f ( f−1 ( x ))=2

3 (√ 32 x+9)2

−6=¿

23 ( 32 x+9)−6=¿

x+6−6=x

f−1 ( f ( x ) )=√ 32 (23 x2−6)+9=¿

√ x2−9+9=√ x2=x

iii)

iv) D : x≥6 ,R : y ≥0

151. i ¿ f−1 ( x )=x2+4

ii¿ f ( f−1 ( x ))=√ x2+4−4=√x2=xf−1 ( f ( x ) )=(√ x−4 )2+4=¿

x−4+4=x

Alg II – Functions ~26~ NJCTL.org

iii)

iv) D : x≥0 ,R : y ≥4

152. i ¿ f−1 ( x )=−x+23

ii¿ f ( f−1 ( x ))=−3 (−x+23 )+2=¿

x−2+2=x

f−1 ( f ( x ) )=−(−3x+2)+23

=¿

3x−2+23

=3 x3

=x

iii)

iv) D : (−∞ ,∞ ) , R :(−∞,∞)

Unit Review:

1. b

2. a

3. d

4. c

5. c

6. c

7. d

8. a

9. 9

10. a

11. b

12. c

13. a) 11, b) 3, c) 5, d) 2√3 x−4+314. f +g=3 x2+ x+1 , D :(−∞ ,∞)

f−g=−3 x2+x−3 , D :(−∞,∞ )

fg=3 x3−3x2+2 x−1 ,D :(−∞ ,∞)

fg= x−13 x2+2

, D :(−∞,∞)

15. a) 7, b) -1, c) 40, d) -1/2

16. a¿ f ∘ g=x2+6 x+9 , g∘ f=x2+3b¿ f ∘ g=2 x2−1 , g∘ f=4 x2−2 x+27

17. a) yes, f−1 (x )=√ x3b) yes, f−1 (x )=x3−1

c) yes, f−1 (x )=1x

d) yes, f−1 (x )= x−32

18. i ¿ f−1 ( x )=3√ x−4+2

ii¿ f ( f−1 ( x ))=( 3√x−4+2−2 )3+4=¿3√ x−43+4=x−4+4=x

f−1 ( f ( x ) )=3√ ( x−2 )3+4−4+2=¿3√ ( x−2 )3+2=x−2+2=x

iii)

iv) D : (−∞ ,∞ ) , R :(−∞,∞)

Alg II – Functions ~27~ NJCTL.org

Alg II – Functions ~28~ NJCTL.org