Inverse Function Examples
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Inverse Function Examples
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Inverse Function Example 5 SPM Additional Mathematics
1 Linear function Find the inverse of g x 2 x 5 g 1 x I need help 2 Cubic function The inverse of a function f is denoted by f -1 and it exists only when f is both one-one and onto function. Note that f -1 is NOT the reciprocal of f. The composition of the function f and the reciprocal function f -1 gives the domain value of x. (f o f -1) (x) = (f -1 o f) (x) = x

Inverse Functions GCSE Maths Steps Examples Worksheet
Inverse Function ExamplesInverse Functions An inverse function goes the other way! Let us start with an example: Here we have the function f (x) = 2x+3, written as a flow diagram: The Inverse Function goes the other way: So the inverse of: 2x+3 is: (y−3)/2 The inverse is usually shown by putting a little "-1" after the function name, like this: f-1(y) Example f x 2x 5 y Then g y y 5 2 x is the inverse of f x Note The relation developed when the independent variable is interchanged with the variable which is dependent on a specified equation and this inverse may or may not be a function
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