Analysis and Approaches for IBDP Maths Ebook 2 | Page 18

Your Practice Set – Analysis and Approaches for IBDP Mathematics
3. The function f is given by
2x
f( x)
� , x � 2 . It is given that
2 � x
f
x
( x)
�
ax � 2
.
�1 2
(a) Find the value of a .
[3]
(b) Sketch the graph of
�
y � f 1 ( x)
, showing clearly any asymptotes and any points
of intersection with the axes.
[4]
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