Evaluate the function at the specified value of the independent variable and simplify. $f ( p ) = \frac { - 8 p } { 9 p + 8 }$ f(y - 5)
A) f(y - 5)= $\frac { - 8 y + 40 } { 9 y - 37 }$
B) f(y - 5)= $\frac { - 8 y - 40 } { 9 y - 37 }$
C) f(y - 5)= $\frac { - 8 p + 40 } { 9 p - 37 }$
D) f(y - 5)= $- \frac { 40 } { 53 }$
E)f(y - 5)= $- \frac { 40 } { 37 }$

Question

Evaluate the function at the specified value of the independent variable and simplify. $f ( p ) = \frac { - 8 p } { 9 p + 8 }$ f(y - 5)
A) f(y - 5)= $\frac { - 8 y + 40 } { 9 y - 37 }$ 
B) f(y - 5)= $\frac { - 8 y - 40 } { 9 y - 37 }$ 
C) f(y - 5)= $\frac { - 8 p + 40 } { 9 p - 37 }$ 
D) f(y - 5)= $- \frac { 40 } { 53 }$ 
E)f(y - 5)= $- \frac { 40 } { 37 }$

Quizplus · Accepted Answer

To find $f(y - 5)$, substitute $p = y - 5$ into the function $f(p) = \frac{-8p}{9p + 8}$. This gives $f(y - 5) = \frac{-8(y - 5)}{9(y - 5) + 8}$, which simplifies to $\frac{-8y + 40}{9y - 45 + 8}$ or $\frac{-8y + 40}{9y - 37}$.

Evaluate the Function at the Specified Value of the Independent f(p)=−8p9p+8f ( p ) = \frac { - 8 p } { 9 p + 8 }f(p)=9p+8−8p​

Evaluate the Function at the Specified Value of the Independent $f ( p ) = \frac { - 8 p } { 9 p + 8 }$