QuestionPrevious Problem Problem List Next Problem (1 point) Express the function $y=4(x-7)^{5}$ as a composition $y=(f \circ g)(x)$ of two simpler functions. $f(x)=$ $\square$ $g(x)=$ $\square$ Help entering formulas After submitting an answer, you can get a hint and click "Show Me Another" to see a similar probler

Studdy Solution
Verify the composition $(f \circ g)(x)$ .
Substitute $g(x) = x - 7$ into $f(x)$ :
$(f \circ g)(x) = f(g(x)) = f(x - 7) = 4(x - 7)^5$
This matches the original function $y = 4(x - 7)^5$ .
The functions are:
$f(x) = 4x^5$ $g(x) = x - 7$

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