51.Find the values of x for which 5 3x x + 1.Working:

Answer:..........................................................................(Total 3 marks)

2.Solve the inequality x2 4 + < 0.Working:

Answer:....................................................................................................................................................(Total 6 marks)

3.Solve the inequality x 2 2x + 1.Working:

Answer:.........................................................................(Total 6 marks)

4.Let f (x) = , x 1 and g (x) = , x 4.Find the set of values of x such that f (x) g (x).Working:

Answer:.........................................................................(Total 6 marks)

5.Solve the inequality 2Working:

Answer:.........................................................................(Total 6 marks)6.Let f (x) = , x 1 and g (x) = , x 4. Find the set of values of x such thatf (x) g (x).....................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................(Total 6 marks)

7.Let f (x) = , x 2.(a)Find f (x).(b)Solve f (x) > 2.

(Total 6 marks)

8.The functions f and g are defined byf (x) = 2x 1,g (x) = Find the values of x for which ( f g) (x) (g f ) (x).......................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................(Total 6 marks)