Example 3

Find the function that results from the composition

and

. Determine the domains of

, and

1. Begin by setting

equal to

, then substitute the value of

into

and solve. Distribute and combine like powers as necessary. 2. Determine the domain of

. 3. Determine the domain of

. 4. Determine the domain of

. This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit www.walch.com for more information.

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