Analysis and Approaches for IBDP Maths Ebook 1 | Page 108

Your Practice Set – Analysis and Approaches for IBDP Mathematics
� x �
2. Let f ( x) �8x
� 7 , gx ( ) �4sin � ��3
. Let h( x) � ( g f )( x)
.
�2
�
(a) Find an expression for hx ( ).
(b) Find the period of h .
(c) Write down the range of h .
[3]
[2]
[2]
3. Let
3
� x �
f ( x) � x � 1, gx ( ) �4sin � ��13
. Let h( x) � ( f g)( x)
.
2
�3
�
(a) Find an expression for hx ( ).
(b) Find the amplitude of h .
(c) Write down the range of h .
[3]
[2]
[2]
� x �
4. Let f ( x) �1� 2x
, gx ( ) �6cos � ��1. Let h( x) � ( f g)( x)
.
�2
�
(a) Find an expression for hx ( ).
(b) Find the amplitude of h .
(c) Write down the range of h .
[3]
[2]
[2]
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