3 x 1fx 1 1 3 1 1 3 x 1 3 x finding an inverse

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Unformatted text preview: Inverse Power Function Find the inverse function of the function f(x) Solution f(x) 1) 1 (3x 3 1 x Example 3 1(3x f 12 x , x ≤ 0. 4 12 x 4 Write original function. y 12 x 4 Replace f(x) with y. x 12 y 4 Switch x and y. y2 Multiply each side by 4 . y Take square roots of each side. 4x 2x Because the domain of f is restricted to nonpositive values, the inverse function is f 1(x) 2 x . (You 1(x) 2 x if the would choose f domain had been restricted to x ≥ 0.) Check To check your work, graph f 1. y 312 f (x ) 4x x≤0 1 3 1 f 1(x...
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This document was uploaded on 03/12/2014 for the course ALGEBRA RMHS Algeb at Richard Montgomery High.

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