Find two functions f and g such that $h ( x ) = ( f \circ g ) ( x )$
-$$h ( x ) = ( x + 5 ) ^ { 6 }$$
A) $f ( x ) = x ^ { 6 }$ and $g ( x ) = x + 5$
B) $f ( x ) = x$ and $g ( x ) = x ^ { 6 } + 5$
C) $f ( x ) = x + 5$ and $g ( x ) = x ^ { 6 }$
D) $f ( x ) = ( x + 5 )$ and $g ( x ) = ( x + 5 ) ^ { 5 }$

Question

Quizplus · Accepted Answer

The correct choice is A because $f(g(x)) = f(x+5) = (x+5)^6$, which matches the given function $h(x)$. This means $g(x) = x + 5$ is first applied, then $f(x) = x^6$ is applied to the result.

Find Two Functions F and G Such That h(x)=(f∘g)(x)h ( x ) = ( f \circ g ) ( x )h(x)=(f∘g)(x)

Find Two Functions F and G Such That $h ( x ) = ( f \circ g ) ( x )$