For the given functions f and g, find the composition.
-$$f ( x ) = - 2 x + 5 ; g ( x ) = 5 x + 9$$
Find $( g \circ f ) ( x )$.
A) $10 x + 34$
B) $- 10 x + 34$
C) $- 10 x + 23$
D) $- 10 x - 16$

Question

Quizplus · Accepted Answer

To find $(g \circ f)(x)$, we first apply $f(x)$, then apply $g$ to the result of $f(x)$. So, $f(x) = -2x + 5$. Applying $g$ to $f(x)$, we get $g(f(x)) = 5(-2x + 5) + 9 = -10x + 25 + 9 = -10x + 34$.

For the Given Functions F and G, Find the Composition f(x)=−2x+5;g(x)=5x+9f ( x ) = - 2 x + 5 ; g ( x ) = 5 x + 9f(x)=−2x+5;g(x)=5x+9

For the Given Functions F and G, Find the Composition $f ( x ) = - 2 x + 5 ; g ( x ) = 5 x + 9$