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Which description compares the vertical asymptote(s) of Function A and Function B correctly?

Function A: f(x)=1/x−3

Function B:

Function A has two vertical asymptotes.
Function B has one vertical asymptote.

Both functions have a vertical asymptote at x = 4.

Function A has a vertical asymptote at x=−3 .

Function B has a vertical asymptote at x = 4.

Function A has a vertical asymptote at x = 3.
Function B has a vertical asymptote at x = 4.

whosmans Feb 28, 2019

edited by whosmans Feb 28, 2019

CPhill · Answer 1 · 2019-02-28T11:09:30

Function A

f(x) = 1 / ( x - 3)

The vertical asymptote is the value of x that makes x - 3 = 0 ⇒ x = 3

The vertical asymptote of B is x = 4

So....

Function A has a vertical asymptote at x = 3.
Function B has a vertical asymptote at x = 4.