Evaluate the function at the specified value of the independent variable and simplify.
$f ( p ) = \frac { - 3 p } { 4 p - 3 }$, $f ^ { \prime } ( s + 8 )$

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.
$f ( p ) = \frac { - 3 p } { 4 p - 3 }$, $f ^ { \prime } ( s + 8 )$

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 $f'(s + 8)$, we 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 ( p ) = \frac { - 3 p } { 4 p - 3 }f(p)=4p−3−3p​

Evaluate the Function at the Specified Value of the Independent $f ( p ) = \frac { - 3 p } { 4 p - 3 }$