Question

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

Function A: f(x) = 1/x-1
Function B: (see photo)


A. Function A has a vertical asymptote at x = 1.
Function B has a vertical asymptote at ​x = 0​.

B. Function A has a vertical asymptote at x = 1.
Function B has a vertical asymptote at x=−3.

C. Function A has a vertical asymptote at x=−1.
Function B has a vertical asymptote at x=−3.

D. Both functions have the same vertical asymptote.

Answer 1

B. Function A has a vertical asymptote at x = 1.

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

Explanation:

You can see from the diagram that the asymptope is x = -3, but to find the asymtope for the function make denominator equal to 0 and solve because the denominator can never equal 0, (you divide a number by 0, which is mathematically impossible) therefore the function will never reach that line.