Your Practice Set – Applications and Interpretation for IBDP Mathematics
Exercise 15
� x �
1 . Let f ( x) �2x
� 3, gx ( ) �3cos� ��5 . Let h( x) � ( g f )( x)
. �4 �
( a ) Find an expression for hx ( ).
( b ) Find the period of h .
( c ) Write down the range of h .
[ 3 ]
[ 2 ]
[ 2 ]
� 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 amplitude of h .
[ 3 ]
[ 2 ]
[ 1 ]
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 ]
[ 1 ]
[ 2 ]
4 . Let f ( x) �1� 2x
, g( x) �6cos� x � 1. Let h( x) � ( f g)( x) .
( a ) Find an expression for hx ( ).
( b ) Find the amplitude of h .
( c ) Write down the range of h .
[ 3 ]
[ 1 ]
[ 2 ]
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