Analysis and Approaches for IBDP Maths Ebook 1 | Page 26

Your Practice Set – Analysis and Approaches for IBDP Mathematics
2. Let f ( x) �2x
� 3 and
g( x) ( x 5)
2
� � .
(a)
Find
f
1 ( x)
.
(b) Find ( g f)( � 2) .
�
[3]
[3]
3. Let f ( x) � x � 4 , for x �� 4.
(a)
(b)
Find
f � 1 (4) .
Let g be a function such that
g(96) � 7, find
1
( f g � )(7) .
1
g �
exists for all real numbers. Given that
[3]
[3]
4. Let f ( x) � 2x
� 1 , for
1
x � .
2
(a)
(b)
Find
f � 1 (3) .
Let g be a function such that
1
g �
�3a
�1� g � � � 2 , where a is a constant, find
� 2 �
of a .
exists for all real numbers. Given that
[3]
1
( f g � )(2) , give the answer in terms
[3]
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