Question

find the vertical asymptote.
$y = \frac{4x + 12}{4x - 12}$
$x = ?$

Explanation:

Step1: Set denominator equal to zero

For a rational function \(y=\frac{f(x)}{g(x)}\), vertical asymptotes occur where \(g(x) = 0\). Here \(g(x)=4x - 12\), so set \(4x-12=0\).

Step2: Solve the equation

Add \(12\) to both sides: \(4x=12\). Then divide both sides by \(4\): \(x = \frac{12}{4}=3\).

Answer:

\(x = 3\)