Solve the problem.
-If $f ( x ) = - 3 x + 2$ and $g ( x ) = 2 x + 9$, find $g ( f ( x ) )$.
A) $- 6 x + 29$
B) $6 x + 13$
C) $- 6 x + 5$
D) $- 6 x + 13$

Name: Solve the problem. -If $f ( x ) = - 3 x + 2$ and $g ( x ) = 2 x + 9$, find $g ( f ( x ) )$. A) $- 6 x + 29$ B) $6 x + 13$ C) $- 6 x + 5$ D) $- 6 x + 13$
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Question

Quizplus · Accepted Answer

Firstly, we need to substitute the expression for $f(x)$ into $g(x)$ wherever we see $x$.

$$g(f(x))=2f(x)+9=2(-3x+2)+9=-6x+13$$

Therefore, the answer is D, $-6x+13$.

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