# How do you find the asymptotes for #f(x) = 5/(x - 7) + 6#?

##### 2 Answers

Jun 6, 2015

Given:

Subtract

Multiply both sides by

Add

The asymptotes correspond to the excluded values:

Jun 6, 2015

The one asymptote is when the numerator of the fraction gets closer to **vertical** asymptote.

The other one is when **horizontal** asymptote.

graph{5/(x-7) +6 [-18.87, 46.08, -9.32, 23.12]}