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kongvp_ppsm_usm_maa101/4_15/16I- 1 -

PUSAT PENGAJIAN SAINS MATEMATIK

UNIVERSITI SAINS MALAYSIA

MAA101/4 Calculus for Science Students I

Exercise 2

1. Let : [ 1, 1]f X defined by ( ) sin(3 )f x x= . Find the domain X such that 1f

exists.

[1 mark]

2. Suppose f and g are two functions such that g f is an identity function. Is g an

inverse of f ?

[1 mark]

3. Sketch the inverse function 1f of ( ) ln(1 )f x x= .

[1 mark]

4. Suppose cosh sinh 2x x = , where x is a real number, evaluate tanhx .[1 mark]

Instructions

1. Submit your answer sheet during your tutorial on 19or 20 October 2015.

2. Write your name, matrix number and group of tutorial.

3. Late submissions will not be tolerated.

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