Where are the asymptotes for the following function located? f of x is equal to the fraction with numerator 14 and denominator open paren x minus 5 close paren times open paren x plus 1 close paren

Vertical asymptotes occur where the denominator is zero and the numerator is nonzero. Set (x − 5)(x + 1) = 0, giving x = 5 and x = −1; since the numerator is 14, neither factor cancels. Thus the asymptotes listed are x = −1 and x = 5.

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