Find functions f and g so that h(x) $$h ( x ) = ( f \circ g ) ( x )$$
-$$h ( x ) = \sqrt { 17 x ^ { 2 } + 23 }$$
A) $f ( x ) = \sqrt { x } , g ( x ) = 17 x ^ { 2 } + 23$
B) $f ( x ) = 17 x ^ { 2 } + 23 , g ( x ) = \sqrt { x }$
C) $f ( x ) = \sqrt { 17 x + 23 } , g ( x ) = x ^ { 2 }$
D) $f ( x ) = \sqrt { 17 x ^ { 2 } } , g ( x ) = \sqrt { 23 }$

Question

Quizplus · Accepted Answer

The correct functions are $f(x) = \sqrt{x}$ and $g(x) = 17x^2 + 23$, because composing $g$ into $f$, $f(g(x)) = \sqrt{17x^2 + 23}$, matches the given $h(x)$.

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

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