Evaluate the function at the specified value of the independent variable and simplify.
$\begin{array} { l }
q ( p ) = \frac { - 2 p } { 5 p - 2 } \
q ( x - 9 )
\end{array}$
A) $\frac { - 2 x + 18 } { 5 x - 47 }$
B) $\frac { - 2 x - 18 } { 5 x - 47 }$
C) $\frac { - 2 p + 18 } { 5 p - 47 }$
D) $\frac { 18 } { 43 }$
E) $- \frac { 18 } { 47 }$

Question

Evaluate the function at the specified value of the independent variable and simplify.
$\begin{array} { l } 
q ( p ) = \frac { - 2 p } { 5 p - 2 } \
q ( x - 9 )
\end{array}$
A) $\frac { - 2 x + 18 } { 5 x - 47 }$
B) $\frac { - 2 x - 18 } { 5 x - 47 }$
C) $\frac { - 2 p + 18 } { 5 p - 47 }$
D) $\frac { 18 } { 43 }$
E) $- \frac { 18 } { 47 }$

Quizplus · Accepted Answer

To find $q(x - 9)$, substitute $x - 9$ for $p$ in the given function $q(p) = \frac{-2p}{5p - 2}$. This results in $q(x - 9) = \frac{-2(x - 9)}{5(x - 9) - 2}$, which simplifies to $\frac{-2x + 18}{5x - 45 - 2} = \frac{-2x + 18}{5x - 47}$.

Evaluate the Function at the Specified Value of the Independent q(p)=−2p5p−2q(x−9)\begin{array} { l } q ( p ) = \frac { - 2 p } { 5 p - 2 } \\q ( x - 9 )\end{array}q(p)=5p−2−2p​q(x−9)​

Evaluate the Function at the Specified Value of the Independent $\begin{array} { l } q ( p ) = \frac { - 2 p } { 5 p - 2 } \\q ( x - 9 )\end{array}$