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3-4 Inverse Functions and Relations

Understand the concept of inverse relations and functions in pre-calculus. Learn how to graph, determine if inverses are functions, and find inverse functions. Verify relations using horizontal line tests.

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3-4 Inverse Functions and Relations

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  1. 3-4 Inverse Functions and Relations Pre Calc A

  2. Inverse Relations • Two relations are inverses iff one relation contains element (b, a) whenever the other relation contains (a, b) ex: Graph the function y = x² and its inverse

  3. Horizontal Line Test • Determines whether the inverse of a relation will be a function.

  4. Ex 17: • Find the inverse of f(x) = x² - 4, is the inverse a function?

  5. Inverse Functions • Two functions are inverses iff and are both = x

  6. Ex last one: • Given f(x) = 3x² + 7, find f-1and verify that they are inverse functions

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