Question

Y = (1)/(x-2)
What is the vertical asymptote for the above function?

Answer 1

The vertical asymptote for the given function is x = 2.

Step-by-step explanation:

In the function y = 1/(x-2), the denominator (x-2) cannot be equal to zero, because division by zero is undefined. So, to determine the vertical asymptote, we set the denominator equal to zero and solve for x:

(x-2) = 0

x = 2

Therefore, the vertical asymptote for the given function is x = 2.