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3-4 Inverse Functions and Relations. Pre Calc A. 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 = x ² and its inverse. Horizontal Line Test.
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3-4 Inverse Functions and Relations Pre Calc A
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
Horizontal Line Test • Determines whether the inverse of a relation will be a function.
Ex 17: • Find the inverse of f(x) = x² - 4, is the inverse a function?
Inverse Functions • Two functions are inverses iff and are both = x
Ex last one: • Given f(x) = 3x² + 7, find f-1and verify that they are inverse functions