Analysis and Approaches for IBDP Maths Ebook 1 | Seite 218

Your Practice Set – Analysis and Approaches for IBDP Mathematics
4. The following diagram shows the graphs of
g( x) �2 � 0.5x
, for 0 �x
� 5.5 .
f x � � x � x � x � and
3 2
( ) 0.5 4 8.5 5
Let A be the total area of the regions enclosed by the curves of f and g .
(a) Calculate the value of A .
Let hx ( ) be another function and k( x) � h f ( x)
.
[8]
(b)
It is given that
1
4
� h�( f ( x)) � f �( x)dx
�10
and h(0) � 7 , find h (3) .
[7]
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