Analysis and Approaches for IBDP Maths Ebook 2 | Page 24

Your Practice Set – Analysis and Approaches for IBDP Mathematics
Exercise 4
1. The function f is defined as f ( x) �10 � 2 x � 7 , x � 0 . The domain of f is restricted
such that
1
f �
exists.
(a) State the largest possible domain of f .
(b)
Find the expression of
1
f � .
[2]
[3]
2. The function f is defined as
f x
� � , x � 20 . The domain of f is restricted
3
( ) x 8
such that
1
f �
exists.
(a) State the largest possible domain of f .
(b)
(c)
Find the expression of
State the value of
1
f � .
[3]
f 1 63 � �
�
�
�
� 8 � . [1]
[2]
3. The function f is defined as
such that
1
f �
exists.
f ( x) (2 1)
2
� x � , 4 4
� � x � . The domain of f is restricted
(a) State the largest possible domain of f .
(b)
(c)
Find the expression of
1
f � .
The function g is defined such that
expression of gx. ( )
( f g)( x) (4x
7)
2
� � . Find a possible
[2]
[2]
[2]
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