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 www.seprodstore.com 15