Find f(x) and g(x) such that h(x) = $(f \circ g)(x)$.
-$$h ( x ) = ( \sqrt { x } - 7 ) ^ { 2 }$$
A) $f ( x ) = x ^ { 2 } , g ( x ) = \sqrt { x } - 7$
B) $f ( x ) = \sqrt { x } - 7 , g ( x ) = x ^ { 2 }$
C) $f ( x ) = \sqrt { x ^ { 2 } } , g ( x ) = x - 7$
D) $f ( x ) = \sqrt { x } , g ( x ) = ( x - 7 ) ^ { 2 }$

Question

Quizplus · Accepted Answer

The composition $(f \circ g)(x)$ means applying $g(x)$ first and then $f(x)$ to the result. Here, $g(x) = \sqrt{x} - 7$ is applied first, and then $f(x) = x^2$ is applied to the result, matching the given $h(x) = (\sqrt{x} - 7)^2$.

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