Evaluate the rational function.
-$$r ( x ) = \frac { x } { x ^ { 2 } - 9 x + 20 } , r ( 8 )$$
A) 0
B) Undefined
C) $\frac { 2 } { 3 }$
D) $- \frac { 2 } { 3 }$

Name: Evaluate the rational function. -\[r ( x ) = \frac { x } { x ^ { 2 } - 9 x + 20 } , r ( 8 )\] A) 0 B) Undefined C) $\frac { 2 } { 3 }$ D) $- \frac { 2 } { 3 }$
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Question

Quizplus · Accepted Answer

First, factor the denominator: 
$x^2 - 9x + 20 = (x-4)(x-5)$
Then, plug in x=8 and simplify:
$r(8) = \frac{8}{8^2-9(8)+20} = \frac{8}{4} = 2$
Therefore, the correct choice is C.

Evaluate the Rational Function r(x)=xx2−9x+20,r(8)r ( x ) = \frac { x } { x ^ { 2 } - 9 x + 20 } , r ( 8 )r(x)=x2−9x+20x​,r(8)

Evaluate the Rational Function $r ( x ) = \frac { x } { x ^ { 2 } - 9 x + 20 } , r ( 8 )$