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Algebra and Trigonometry, 5th Edition
book

Algebra and Trigonometry, 5th Edition

by Judith A. Beecher, Judith A. Penna, Marvin L. Bittinger
January 2015
Intermediate to advanced
1015 pages
318h 54m
English
Pearson
Content preview from Algebra and Trigonometry, 5th Edition

5.1 Inverse Functions

  • Determine whether a function is one-to-one, and if it is, find a formula for its inverse.

  • Simplify expressions of the type (f∘f−1)(x) and (f−1∘f)(x).

Inverses

When we go from an output of a function back to its input or inputs, we get an inverse relation. When that relation is a function, we have an inverse function.

Consider the relation h given as follows:

h={(−8, 5), (4, −2), (−7, 1), (3.8, 6.2)}.

Suppose we interchange the first and second coordinates. The relation we obtain is called the inverse of the relation h and is given as follows:

Inverse of h={(5, −8), (−2, 4), (1, −7), (6.2, 3.8)}.
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Publisher Resources

ISBN: 9780136747512