Trigonometry Workbook For Dummies
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At times, your textbook or teacher may ask you to verify that two given functions are actually inverses of each other. To do this, you need to show that both f(g(x)) and g(f(x)) = x.

When you’re asked to find an inverse of a function, you should verify on your own that the inverse you obtained was correct, time permitting.

For example, show that the following functions are inverses of each other:

image0.png
  1. Show that f(g(x)) = x.

    This step is a matter of plugging in all the components:

    image1.png
  2. Show that g(f(x)) = x.

    Again, plug in the numbers and start crossing out:

    image2.png

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Mary Jane Sterling taught algebra, business calculus, geometry, and finite mathematics at Bradley University in Peoria, Illinois, for more than 30 years. She is the author of several For Dummies books, including Algebra Workbook For Dummies, Algebra II For Dummies, and Algebra II Workbook For Dummies.

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