Find the requested composition of functions.
-Given $f ( x ) = 2 x ^ { 2 } - 3$ and $g ( x ) = \frac { 3 } { x }$, find $f g ( x )$.
A) $\frac { 18 } { x ^ { 2 } } - 3$
B) $6 x - \frac { 9 } { x }$
C) $\frac { 3 } { 2 x ^ { 2 } - 3 }$
D) $\frac { 18 } { x } - 3$

Question

Quizplus · Accepted Answer

$f g ( x )$ means applying $f$ to $g(x)$, so we substitute $g(x) = \frac{3}{x}$ into $f(x) = 2x^2 - 3$, resulting in $f\left(\frac{3}{x}\right) = 2\left(\frac{3}{x}\right)^2 - 3 = \frac{18}{x^2} - 3$.

Find the Requested Composition of Functions f(x)=2x2−3f ( x ) = 2 x ^ { 2 } - 3f(x)=2x2−3

Find the Requested Composition of Functions $f ( x ) = 2 x ^ { 2 } - 3$