Question

Where are the asymptotes for the following function located?
f (x) = StartFraction 14 Over (x minus 5) (x + 1) EndFraction
x = –1 and x = 5
x = –1 and x = 14
x = 1 and x = –5
x = 14 and x = 5

Answer 1

Vertical asymptotes at x = 5 and x = −1 (denominator zeros).
Also there is a horizontal asymptote y = 0 because degree(numerator) < degree(denominator).

So the correct choice is: x = −1 and x = 5.