Find f(x)and g(x)such that h(x)= (f ° g)(x).
-$$h ( x ) = ( \sqrt { x } - 5 ) ^ { 5 }$$
A) $f ( x ) = x ^ { 5 } , g ( x ) = \sqrt { x } - 5$
B) $f ( x ) = \sqrt { x ^ { 5 } } , g ( x ) = x - 5$
C) $f ( x ) = \sqrt { x } - 5 , g ( x ) = x ^ { 5 }$
D) $f ( x ) = \sqrt { x } , g ( x ) = ( x - 5 ) ^ { 5 }$

Question

Quizplus · Accepted Answer

The correct composition is $f(g(x))$, where $g(x) = \sqrt{x} - 5$ first modifies the input $x$, and then $f(x) = x^5$ raises the result to the fifth power, matching the given $h(x)$.

Find F(x)and G(x)such That H(x)= (F ° G)(x) h(x)=(x−5)5h ( x ) = ( \sqrt { x } - 5 ) ^ { 5 }h(x)=(x​−5)5

Find F(x)and G(x)such That H(x)= (F ° G)(x) $h ( x ) = ( \sqrt { x } - 5 ) ^ { 5 }$