Your Practice Set – Applications and Interpretation for IBDP Mathematics
Exercise 7
3
1 . Let f ( x) � log x , for x � 0 .
( a ) Find f
1 ( x) .
�
( b ) Write down the range of
Let g( x) log x x � .
4
� , for 0
1
f � .
[ 3 ]
[ 1 ]
( c ) Find the value of
�1
( f g)( 10 ) , giving your answer as an integer .
[ 4 ]
2 . Let f ( x)
4x
� . e
( a ) Find f
1 ( x) .
�
( b ) Write down the domain of
Let g( x) ( e 1 )
x 3
� � .
1
f � .
[ 3 ]
[ 1 ]
( c ) Find the value of
1
( g f � )( 16 ) , giving your answer as an integer . [ 4 ]
3 . Let f ( x) �ln x � 3, for x � 0 .
( a ) Find f
1 ( x) .
�
( b ) Write down the range of
Let g( x)
e � �
( x 1 )( x 3 )
� .
1
f � .
[ 3 ]
[ 1 ]
( c ) Find the value of ( f g )( 2 ) , giving your answer as an integer . [ 4 ]
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