Evaluate the function at the specified value of the independent variable and simplify.
$\begin{array} { l }
f ( p ) = \frac { - 3 p } { 4 p - 3 } \
f ( s + 8 )
\end{array}$
A) $\frac { - 3 s - 24 } { 4 s + 29 }$
B) $\frac { - 3 s + 24 } { 4 s + 29 }$
C) $\frac { - 3 p - 24 } { 4 p + 29 }$
D) $\frac { 24 } { 35 }$
E) $- \frac { 24 } { 29 }$

Question

Evaluate the function at the specified value of the independent variable and simplify.
$\begin{array} { l } 
f ( p ) = \frac { - 3 p } { 4 p - 3 } \
f ( s + 8 )
\end{array}$
A) $\frac { - 3 s - 24 } { 4 s + 29 }$
B) $\frac { - 3 s + 24 } { 4 s + 29 }$
C) $\frac { - 3 p - 24 } { 4 p + 29 }$
D) $\frac { 24 } { 35 }$
E) $- \frac { 24 } { 29 }$

Quizplus · Accepted Answer

To find $f(s + 8)$, substitute $p = s + 8$ into the function: $f(p) = \frac{-3p}{4p - 3}$. This gives $f(s + 8) = \frac{-3(s + 8)}{4(s + 8) - 3}$, which simplifies to $\frac{-3s - 24}{4s + 32 - 3}$ or $\frac{-3s - 24}{4s + 29}$.

Evaluate the Function at the Specified Value of the Independent f(p)=−3p4p−3f(s+8)\begin{array} { l } f ( p ) = \frac { - 3 p } { 4 p - 3 } \\f ( s + 8 )\end{array}f(p)=4p−3−3p​f(s+8)​

Evaluate the Function at the Specified Value of the Independent $\begin{array} { l } f ( p ) = \frac { - 3 p } { 4 p - 3 } \\f ( s + 8 )\end{array}$