Precalc0108to0109-page21 - (Section 1.9: Inverses of...

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(Section 1.9: Inverses of One-to-One Functions) 1.9.11 Mechanical Approach to Finding the Inverse of a One-to-One Function f Given a formula for f in terms of x , we can attempt to find a formula for f ± 1 as follows: Step 1 : Replace fx () with y . Step 2 : Switch x and y . (Remember the theme of switching inputs with outputs.) Step 3 : Solve for y , if possible. Step 4 : Replace y with f ± 1 x . Step 5 : If necessary, impose restrictions and ensure that Dom
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This document was uploaded on 12/29/2011.

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