How do you find the domain for $f(x)=(x+5)/(x^2-25)$ ?

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Answer 1 · 2016-08-11T17:36:48

The Domain of $f$ is $RR-{+-5}$ .

As division by Zero is not allowed, we must have, $x^2-25!=0$ .

As, $x^2-25=0 rArr (x-5)(x+5)=0 rArr x=+-5$

$:. x62-25!=0 rArr x!=+-5$ .

Hence, the Domain of $f$ is $RR-{+-5}$ .

How do you find the domain for f(x)=(x+5)/(x^2-25)f(x)=(x+5)/(x^2-25)?