Page 54 - Past Year

52 | P a g e



26. (a) Refer to Lecturer - (b) D  [ 4, ) , R  [ 2, )


f
f

1
27. (a) (i) f g ( )  4bx (ii) b  (b) 7
x
4

1
x
28. f  1 ( )  log x - Graph refers to Lecturer –
2 2

8x  2 5 p

2
29. (a)(i) ( )g x  (ii) ( )g x  x (b) 3
6

30. (a) - Graph refers to Lecturer -

D  f 1,  D    
,
g
R     R  g 0, 
,
f

(b) x  3 ln2
 2 x   2
g   x 
31. x  1

32. p   1,q  2

33. (a)

= { : ∈ } −1 = { : > 0}

= { : > 0} −1 = { : ∈ }

(b) 403.43
34. (a) g f   x  x  1


1
(b) (i) f  1   x  x  1 (ii) g f    x  x  2 1

(c) D 1  R 1   1, 
(g f )  (g f ) 
35. (a) (i) -refer to lecturer-

e  2
x
(ii) f  1   x 
3

(iii) D  R  f 1   2 ,    R  D  f 1 

f
f

3