Question

Find the vertical asymptotes, if any, of the graph of the rational function.

f(x) = x - 4 / x (x - 4)

A. x = 4 and x = 4
B. x = 4
C. x = 0
D. no vertical asymptote

Answer 1

There is a vertical asymptote for the rational function at x = −4. Set the denominator equal to 0 and solve for x.

2x + 8 = 0 → x = −4

Explanation: