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I sure could use your help!!

Find the domain of the rational function:

r(x)=( x^2+7x-8)/(x^2-64)

Thanks for the help!!!

For any number input, each term can be evaluated.

The only thing to check for is that the denominator of the fraction can't be 0.

That is, x^2 - 64 != 0 where != is 'not equal to'.

That occurs when x^2 = 64. That means it happens when x = 8 or x = -8.

The domain, then, is all x in either (-infinity,-8), (-8,8), or (8,infinity).

It could also be stated as all x except where x = ±8.

Algebra

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