Provide an appropriate response.
-If $f ( x ) = x , g ( x ) = x - 6$, and $h ( x ) = x ^ { 2 } - 5 x + 5$, find the composition $( g \circ h ) ( x )$
A) $x ^ { 3 } - 11 x ^ { 2 } - 4 x - 30$
B) $x ^ { 2 } - 5 x - 1$
C) $x ^ { 2 } - 4 x - 1$
D) $x ^ { 2 } - 17 x + 71$

Question

Quizplus · Accepted Answer

To find $(g \circ h)(x)$, first apply $h(x)$ and then apply $g$ to the result. $h(x) = x^2 - 5x + 5$, then $g(h(x)) = (x^2 - 5x + 5) - 6 = x^2 - 5x - 1$.

Provide an Appropriate Response f(x)=x,g(x)=x−6f ( x ) = x , g ( x ) = x - 6f(x)=x,g(x)=x−6

Provide an Appropriate Response $f ( x ) = x , g ( x ) = x - 6$