12) f(x) = 4/x find the vertical asymptote(s). x = 0 x = 4 none x = -4, 4

Explanation:

Step1: Recall vertical - asymptote rule

For a rational function $y = \frac{f(x)}{g(x)}$, vertical asymptotes occur at the values of $x$ that make the denominator $g(x)=0$. Given $f(x)=\frac{4}{x - 4}$, the denominator is $g(x)=x - 4$.

Step2: Solve for $x$ when $g(x)=0$

Set $x - 4=0$. Adding 4 to both sides gives $x = 4$.

Answer:

$x = 4$