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Example 3

Find the function that results from the composition if 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 for more information.