find the vertical asymptote.\ny = \\frac{7x + 21}{x - 3}\nx = ?

Answer:

$x = 3$

Explanation:

Step1: Recall vertical - asymptote rule

Vertical asymptotes occur where the denominator of a rational function is zero and the numerator is non - zero.

Step2: Set the denominator equal to zero

$x - 3=0$

Step3: Solve for x

$x = 3$ When $x = 3$, the numerator $7x+21=7\times3 + 21=42\neq0$. So the vertical asymptote is $x = 3$.