Let $f ( x ) = \frac { 1 } { x } , g ( x ) = x + 5$ .Find the composite function which expresses the given correspondence correctly. $\frac { 1 } { x + 5 }$
A) $$( g \circ g ) ( x )$$
B) $$( g \circ f ) ( x )$$
C) $( f \circ f ) ( x )$
D) $( f \circ g ) ( x )$
E)none of the above

Question

Let $f ( x ) = \frac { 1 } { x } , g ( x ) = x + 5$ .Find the composite function which expresses the given correspondence correctly.​ $\frac { 1 } { x + 5 }$ ​
A) $$( g \circ g ) ( x )$$
B) $$( g \circ f ) ( x )$$
C) $( f \circ f ) ( x )$
D) $( f \circ g ) ( x )$
E)none of the above

Quizplus · Accepted Answer

The correct composite function is $( f \circ g ) ( x ) = f(g(x)) = f(x + 5) = \frac{1}{x + 5}$, which matches the given correspondence.

Let f(x)=1x,g(x)=x+5f ( x ) = \frac { 1 } { x } , g ( x ) = x + 5f(x)=x1​,g(x)=x+5

Let $f ( x ) = \frac { 1 } { x } , g ( x ) = x + 5$