Question #N690
The function f(x) is defined by the equation f(x) = (x^2 + 3x - 4)/(x - 1). For what values of x does the function f(x) have a vertical asymptote?
A. x = -4
B. x = -1
C. x = 1
D. x = 4
Correct Answer is: C
A vertical asymptote occurs where the denominator of a rational function equals zero, making the function undefined. The denominator of f(x) is (x - 1), and this equals zero when x = 1. Therefore, the function f(x) has a vertical asymptote at x = 1.