Find the requested function value.
-Find $( f \circ g ) ( \quad )$ when $f ( x ) = x - 6$ and $g ( x ) = - 8 x ^ { 2 } + 8 x + 3$
A) $- 1191$
B) 3
C) $- 4413$
D) 9

Question

Quizplus · Accepted Answer

The composition of functions $(f \circ g)(x)$ means applying $g(x)$ first and then applying $f$ to the result of $g(x)$. Given $f(x) = x - 6$ and $g(x) = -8x^2 + 8x + 3$, we first find $g(x)$ and then substitute this into $f(x)$. So, $(f \circ g)(x) = f(g(x)) = f(-8x^2 + 8x + 3) = (-8x^2 + 8x + 3) - 6 = -8x^2 + 8x - 3$. However, without a specific value of $x$ to substitute, we cannot find a numerical value directly from the given options. The question seems to be missing the specific value of $x$ to evaluate $(f \circ g)(x)$. Given the options, none directly match the expression derived, suggesting a possible misunderstanding in the question's intent or a typo in the provided options or the question itself.

Find the Requested Function Value (f∘g)()( f \circ g ) ( \quad )(f∘g)()

Find the Requested Function Value $( f \circ g ) ( \quad )$