Find the horizontal and vertical asymptotes of the curve.

Question

y = 3x+6/x−7

x=
y=

Answer 1

Did you mean
y = (3x+6)/(x-7) ??

Vertical asymptotes:
What happens when the denominator is zero?
For what value of x does this happen ?

horizontal :
Which terms fall by the wayside as x→∞ ?
what remains of y = (3x ...)/(x ....) ?