For the given functions f and g, find the composition.
-$$f ( x ) = x ^ { 3 } + 6 x ; g ( x ) = - 3 x$$
Find $( f \circ g ) ( x )$.
A) $- 27 x ^ { 3 } - 18 x$
B) $- 27 x ^ { 2 } - 18 x$
C) $- 3 x ^ { 3 } + 6 x$
D) $- 3 x ^ { 3 } - 18 x$

Question

Quizplus · Accepted Answer

To find $(f \circ g)(x)$, substitute $g(x) = -3x$ into $f(x)$, resulting in $f(g(x)) = (-3x)^3 + 6(-3x) = -27x^3 - 18x$.

For the Given Functions F and G, Find the Composition f(x)=x3+6x;g(x)=−3xf ( x ) = x ^ { 3 } + 6 x ; g ( x ) = - 3 xf(x)=x3+6x;g(x)=−3x

For the Given Functions F and G, Find the Composition $f ( x ) = x ^ { 3 } + 6 x ; g ( x ) = - 3 x$