Analysis and Approaches for IBDP Maths Ebook 1 | Page 23

Front Page
Chapter
3
3
Functions
SUMMARY POINTs
� The function y � f ( x)
:
1. f( a ): Functional value when x�
a
2. Domain: Set of values of x
3. Range: Set of values of y
� f g( x) � f ( g( x))
: Composite function of f( x ) with gx ( )
�
�
Steps of finding the inverse function y � f 1 ( x)
of f( x ):
1. Start from stating y in terms of x
2. Interchange x and y
3. Make y the subject in terms of x
�
�
Properties of y � f 1 ( x)
:
1.
1 1
f ( f �
�
( x)) � f ( f ( x))
� x
�
2. The graph of y � f 1 ( x)
: Reflection of the graph of y � f ( x)
about y�
x
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