For the given functions f and g , find the indicated composition.
-$$\begin{array} { l }
f ( x ) = - 2 x + 3 , \quad g ( x ) = 6 x + 9 \
( g\circ f ) ( x )
\end{array}$$
A)12x + 27
B)-12x - 9
C)-12x + 21
D)-12x + 27

Question

For the given functions f and g , find the indicated composition.
-$$\begin{array} { l } 
f ( x ) = - 2 x + 3 , \quad g ( x ) = 6 x + 9 \
( g\circ f ) ( x )
\end{array}$$
A)12x + 27
B)-12x - 9
C)-12x + 21
D)-12x + 27

Quizplus · Accepted Answer

To find $(g \circ f)(x)$, we substitute $f(x)$ into $g(x)$. So, $g(f(x)) = g(-2x + 3) = 6(-2x + 3) + 9 = -12x + 18 + 9 = -12x + 27$.

For the Given Functions F and G , Find the Indicated