Find the composite function $f ( g ( x ) )$ $f ( u ) = \frac { 1 } { u } , g ( x ) = x + 3$
A)
$f ( g ( x ) ) = \frac { 1 } { x } + 3$
B)
$f ( g ( x ) ) = x + 3 + \frac { 1 } { x }$
C)
$f ( g ( x ) ) = 1 + \frac { 3 } { x }$
D)
$f ( g ( x ) ) = \frac { 1 } { x + 3 }$

Question

Find the composite function $f ( g ( x ) )$ $f ( u ) = \frac { 1 } { u } , g ( x ) = x + 3$
A) 
$f ( g ( x ) ) = \frac { 1 } { x } + 3$
B) 
$f ( g ( x ) ) = x + 3 + \frac { 1 } { x }$
C) 
$f ( g ( x ) ) = 1 + \frac { 3 } { x }$
D) 
$f ( g ( x ) ) = \frac { 1 } { x + 3 }$

Quizplus · Accepted Answer

To find the composite function $f(g(x))$, substitute $g(x) = x + 3$ into $f(u) = \frac{1}{u}$, resulting in $f(g(x)) = \frac{1}{x + 3}$.

Find the Composite Function f(g(x))f ( g ( x ) )f(g(x))

Find the Composite Function $f ( g ( x ) )$