For the given functions f and g, find the composition.
-$$f ( x ) = 6 x ^ { 2 } + 5 x ; g ( x ) = 2 x$$
Find $( f \circ g ) ( x )$.
A) $24 x ^ { 2 } + 10 x$
B) $6 x ^ { 2 } + 7$
C) $12 x ^ { 2 } + 10 x$
D) $12 x ^ { 3 } + 10 x ^ { 2 }$

Question

Quizplus · Accepted Answer

To find $(f \circ g)(x)$, substitute $g(x) = 2x$ into $f(x)$, resulting in $f(g(x)) = 6(2x)^2 + 5(2x) = 24x^2 + 10x$.

For the Given Functions F and G, Find the Composition f(x)=6x2+5x;g(x)=2xf ( x ) = 6 x ^ { 2 } + 5 x ; g ( x ) = 2 xf(x)=6x2+5x;g(x)=2x

For the Given Functions F and G, Find the Composition $f ( x ) = 6 x ^ { 2 } + 5 x ; g ( x ) = 2 x$