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Practice problem

Composing Functions at a Point

By Precalculus: An Investigation of Functions
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g(x) = (x-3)^2-1 is shown in red. f(x)=-(x-3)^2+6 is shown in blue.

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In the graph above, g(x)=(x−3)2−1g(x) = (x-3)^2-1 is shown in red and f(x)=−(x−3)2+6f(x)=-(x-3)^2+6 is shown in blue. Evaluate g(f(2)).g(f(2)).

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