Given $f ( x ) = \frac { x - 5 } { x ^ { 2 } - 25 }$ , find all the $X$ values where $f$ is not continuous.
A) - 5
B) 5
C) 0 and - 5
D) - 5 and 5

Name: Given $f ( x ) = \frac { x - 5 } { x ^ { 2 } - 25 }$ , find all the $X$ values where $f$ is not continuous. A) - 5 B) 5 C) 0 and - 5 D) - 5 and 5
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Question

Quizplus · Accepted Answer

The function $f(x) = \frac{x - 5}{x^2 - 25}$ is not continuous where the denominator equals zero. Factoring the denominator gives $x^2 - 25 = (x - 5)(x + 5)$, which equals zero when $x = 5$ or $x = -5$.

Given f(x)=x−5x2−25f ( x ) = \frac { x - 5 } { x ^ { 2 } - 25 }f(x)=x2−25x−5​

Given $f ( x ) = \frac { x - 5 } { x ^ { 2 } - 25 }$