If f of x is equal to x squared minus 25 and g of x is equal to x minus 5 , what is the domain of open paren f over g close paren of x ?

The domain of (f/g)(x) excludes values that make the denominator g(x) equal to 0. Since g(x) = x − 5, the denominator is 0 when x = 5. Although f(x) = x² − 25 is also 0 at x = 5, that does not make the original quotient defined there, so the domain is all real values except 5.

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