Objective: to find and verify inverses of functions.

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Presentation transcript:

Objective: to find and verify inverses of functions. 7.4 Inverse Functions Objective: to find and verify inverses of functions.

What is an inverse? Inverse Relation – maps the output values back to their original input values. x -2 -1 1 2 y 4 -4 x 4 2 -2 -4 y -1 1

How to find an inverse Switch the x and y. Solve for y.

You try! Find the inverse:

How do you know if they are inverses? Two functions are inverses of each other if: f(g(x)) = x and g(f(x)) = x

Verification Verify that and are inverses.

Verification Verify that and are inverses.

Example: Graphing Inverse Functions Find the inverse of Graph both functions

7.4 Assignment Read Section 7.4 **Give an example using ordered pairs that shows an inverse relation 426-429: 14-32 even, 33-35 all, 37, 40, 41, 77, 79, 81, 82