Determine the vertical asymptote for the rational function f(x) = x - 4 over 2x + 3.

x = −4
x = -3 over 2
x = 3 over 2
x = 4

Vertical asymptotes happen at x=a if the function is undefined at x=a.

This is a rational functions, and rational functions are not defined when the denominator is zero, since you can't divide by zero.

In this case, the denominator is zero if

And thus the function has a vertical asymptote at x= -3/2

a

step-by-step explanation: