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49 | P a g e

12. (a) – Refer to Lecturer – (b) f  1 ( )  x 3(e  x 1) , x 
0

5
13. (a) x  , x   1
3

x
x
(b) (i) (h h )( )  (ii) h  1 ( )  x
x
x  1

14. (a) – Refer to Lecturer –

(b) −1 ( ) = ( ) = [3, ∞); −1 ( ) = ( ) = [2, ∞)

(c) y
-1
f (x) y = x

f(x)

3

2

x
2 3

x  4 1
15. (a) ( )q x  (b) x 
2 2

(c)

y

2
y =1

x

( ) is one-to-one function because the horizontal line cuts at one point only.

( ) = (−∞, ∞) ; ( ) = (1, ∞)