Find $( g \circ f ) ( x )$ where $f ( x ) = 4 x + 5$ and $g ( x ) = x - 2$ .
A) $4 x + 3$
B) $4 x ^ { 2 } - 3 x - 10$
C) $4 x - 3$
D) $5 x + 3$
E) $4 x ^ { 2 } - 8 x + 5$

Question

Quizplus · Accepted Answer

To find $(g \circ f)(x)$, we first apply $f(x)$ and then apply $g(x)$ to the result. So, we start with $f(x) = 4x + 5$. Applying $g(x)$ to this, we get $g(f(x)) = g(4x + 5) = (4x + 5) - 2 = 4x + 3$.

Find (g∘f)(x)( g \circ f ) ( x )(g∘f)(x) Where f(x)=4x+5f ( x ) = 4 x + 5f(x)=4x+5

Find $( g \circ f ) ( x )$ Where $f ( x ) = 4 x + 5$