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Section 2.6 Inverse Functions

Section 2.6 Inverse Functions. What you should learn. How to find inverse functions informally and verify that two functions are inverse functions of each other How to use graphs of functions to determine whether functions have inverse functions

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Inverse functions

Inverse functions. Do all functions have an inverse? Only functions that are monotonic (always increasing or decreasing) have inverses. In other words, only functions that are one-to-one (have no repeated y-values) have inverses.

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Inverse functions:

Inverse functions:. if f is one-to-one function with domain X and range Y and g is function with domain Y and range X then g is the inverse function of f if and only if (f o g)(x)= x for all x in domain of g (g o f)(x)= x for all x in domain of f. Verify functions are inverses.

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6.1.2

6.1.2. Inverse Sine and Cosine. 6-21. You can use your calculator to draw the full inverse of sine by using the draw inverse command. Set your window so that x goes from [?3, 3] and y goes from [? 6, 6]. Enter Y1 = sin ?1 ( x ) and graph the function. Now select

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Section 2.6 Inverse Functions

Inverse functions

Inverse functions:

6.1.2