Page 53 - Past Year

51 | P a g e

(b)

y

h(x
)

14
27/
2 x
0
1/2


(c) k   x  x  2 4 ; x   1

1
19. (a)  f g ( ) 5x  px (b) p 
5


20. (a) - Refer to lecturer for graph - ; R   ,1    4 3,
f
(b) ( 3)f   4 ; (0) 3 ; (1) 

f
f
4

x
21. (a) (i) f f ( )  ; f  1 ( )  x f ( )  x (ii) a   1, b  1, c 
2
x
x
x  1
(b) q  1

22. p  4

 4
23. (a) x  (b) b  ln5
3

2
2
24. (a) ( )f x  x   2  1 ; h 
(b) - Refer to lecturer for graph –

f is a one to one function because a horizontal lone cut the graph at 1 point only.

R   1, 
f

2
x
(c) f  1 ( )   x  1 ; f  1 (3) 4

2x  5
x
25. (a) g  1 ( )  (b) a  2
a