For what values of x, if any, does f(x) = 1/((x+8)(x-7)) have vertical asymptotes?

1 Answer
Jan 9, 2016

Vertical asymptotes: x=-8 and x=7

Explanation:

f(x) = 1/((x+8)(x-7))

The vertical asymptotes are found when the denominator of the function becomes zero.

To find the Vertical asymptote we equate the denominator to zero.

(x+8)(x-7)=0

Using zero product rule we get

x+8 = 0 or x-7=0

=>x=-8 or x=7

Vertical asymptotes: x=-8 and x=7