For the given functions f and g , find the indicated composition.
-$$\begin{array} { l }
f ( x ) = \sqrt { x - 1 } , \quad g ( x ) = - \frac { 7 } { x } \
( g f ) ( x )
\end{array}$$
A) $\sqrt { - \frac { 7 } { x } - 1 }$

B) $- \frac { 1 } { \sqrt { 7 x - 1 } }$

C) $\frac { 7 } { \sqrt { - x - 1 } }$

D) $- \frac { 7 } { \sqrt { x - 1 } }$

Question

For the given functions f and g , find the indicated composition.
-$$\begin{array} { l } 
f ( x ) = \sqrt { x - 1 } , \quad g ( x ) = - \frac { 7 } { x } \
( g f ) ( x )
\end{array}$$
A) $\sqrt { - \frac { 7 } { x } - 1 }$

B) $- \frac { 1 } { \sqrt { 7 x - 1 } }$

C) $\frac { 7 } { \sqrt { - x - 1 } }$

D) $- \frac { 7 } { \sqrt { x - 1 } }$

Quizplus · Accepted Answer

To find the composition $(g \circ f)(x) = g(f(x))$, we substitute $f(x) = \sqrt{x - 1}$ into $g(x) = -\frac{7}{x}$, resulting in $g(f(x)) = -\frac{7}{\sqrt{x - 1}}$.

For the Given Functions F and G , Find the Indicated