Find the requested composition of functions.
-Given $f ( x ) = \frac { 3 } { x }$ and $g ( x ) = 2 x ^ { 2 }$, find $g f ( x )$.
A) $\frac { 2 x ^ { 2 } } { 3 }$
B) $\frac { 2 x ^ { 2 } } { 9 }$
C) $\frac { 3 } { 2 x ^ { 2 } }$
D) $\frac { 18 } { \mathrm { x } ^ { 2 } }$

Question

Quizplus · Accepted Answer

To find $g(f(x))$, we substitute $f(x) = \frac{3}{x}$ into $g(x) = 2x^2$, resulting in $g(f(x)) = 2\left(\frac{3}{x}\right)^2 = \frac{18}{x^2}$.

Find the Requested Composition of Functions f(x)=3xf ( x ) = \frac { 3 } { x }f(x)=x3​

Find the Requested Composition of Functions $f ( x ) = \frac { 3 } { x }$