Determine $( g \circ f ) ( x )$ for the pair of functions f ( x ) = 6 x 2 $-$ x + 5 and g ( x ) = $-$ x + 9.
A) $-$ 7 x + 4
B) $-$ 6 x 2 + x + 4
C) 6 x 2 $-$ x $-$ 4
D) $-$ 6 x 2 + 4 x

Question

Quizplus · Accepted Answer

We can substitute f(x) into g(x) to get:
$$g(f(x)) = -(6x^2-x+5)+9$$
$$g(f(x))=-6x^2+x+4$$
Therefore, the answer is $-$6x${}^2$ + x + 4, which is choice B.

Determine (g∘f)(x)( g \circ f ) ( x )(g∘f)(x) For the Pair of Functions F ( X ) =

Determine $( g \circ f ) ( x )$ For the Pair of Functions F ( X ) =