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48 | P a g e

ANSWERS


1. (a) – Refer to Lecturer – (b) D  R or ( , ), R   ,  4
f
f




2. – Refer to Lecturer – ; D  ( , ),R  [ 1, )
f
f

2

x
3. g ( ) (x  1)  1

ln x ln x

x
x
4. f  1 ( )  , g f  1 ( ) 1
2 2

5. Range = [-4,12] and f is not one to one function.

3x 9
1 
x
6. h 2 ( )  , h ( )  ,
x
x
x  3 2

x  1 7
x
3
x
x
7. (a) f  1 ( )  g  1 ( )   (b)
2 4

5

1
8. k  1,  f g  (0) 
2
 1
 6x  3, x  4

9. h ( )  
x
 5 2 , x  x 1

  4

2
x
6
10. (a) a  2 (b) f ( )  2x  2x 
 11   1  1 

(c) D  ( , ), R  f  2 ,  ,    , 2   or  2 ,




f


1
1 

x
11. g ( ) 1 
x 2