Find f(x) and g(x) such that h(x) = $(f \circ g)(x)$.
-$h ( x ) = \sqrt { - 81 x ^ { 2 } + 71 }$
A) $f ( x ) = \sqrt { - 81 x + 71 } , g ( x ) = x ^ { 2 }$
B) $f ( x ) = \sqrt { x } , g ( x ) = - 81 x ^ { 2 } + 71$
C) $f ( x ) = \sqrt { - 81 x ^ { 2 } } , g ( x ) = \sqrt { 71 }$
D) $f ( x ) = - 81 x ^ { 2 } + 71 , g ( x ) = \sqrt { x }$

Question

Quizplus · Accepted Answer

The correct choice is B because $g(x) = - 81 x ^ { 2 } + 71$ produces the inside of the square root when applied to $x$, and then $f(x) = \sqrt { x }$ is applied to the result of $g(x)$, producing the final expression $\sqrt { - 81 x ^ { 2 } + 71 }$.

Find F(x) and G(x) Such That H(x) = (f∘g)(x)(f \circ g)(x)(f∘g)(x)

Find F(x) and G(x) Such That H(x) = $(f \circ g)(x)$