Find and simplify $f ( 4 ) + f ( 5 )$ for the function $f ( x ) = \frac { x + 2 } { x - 3 }$ .
A) $f ( 4 ) + f ( 5 ) = 19$
B) $f ( 4 ) + f ( 5 ) = \frac { 23 } { 2 }$
C) $f ( 4 ) + f ( 5 ) = \frac { 23 } { 9 }$
D) $f ( 4 ) + f ( 5 ) = \frac { 19 } { 2 }$
E) $f ( 4 ) + f ( 5 ) = \frac { 9 } { 23 }$

Question

Quizplus · Accepted Answer

First, calculate $f(4) = \frac{4 + 2}{4 - 3} = \frac{6}{1} = 6$. Then, calculate $f(5) = \frac{5 + 2}{5 - 3} = \frac{7}{2}$. Adding these together gives $6 + \frac{7}{2} = \frac{12}{2} + \frac{7}{2} = \frac{19}{2}$.

Find and Simplify f(4)+f(5)f ( 4 ) + f ( 5 )f(4)+f(5)

Find and Simplify $f ( 4 ) + f ( 5 )$