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Inverse Functions

QuestionAnswer
Test graph for inverse function (f*f')(x)=x and (f'*f)(x)=x
Example of Inverse Function (Using previous card) f'={(0,1),(-2,7),(-6,3),(4,4)}
Example of one-to-one f={(1,0),(7,-2),(3,-6),(4,4)}
Solve by graphing A function can be tested using the horizontal line test. If a horizontal line passes through the graph only one time, the function is one-to-one.
One-to-one Each input corresponds to one output, and one output corresponds to one input.
Inverse Function To get the inverse of a one-to-one functions, simply switch the inputs and outputs in each ordered pair.
f(x)=2/5x+12 f^-1(x)=2-12x/5x
f(x)=x-7/11 f^-1(x)=11+7x
f(x)=1/2x+3 f^-1(x)=2x-6
f(x)=4x+8 f^-1(x)=x-8/4
Created by: korene3
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