find the vertical asymptote.\ny = \\frac{3x + 27}{x - 9}\nx = ?
find the vertical asymptote.\ny = \\frac{3x + 27}{x - 9}\nx = ?
Answer
Explanation:
Step1: Recall vertical - asymptote rule
Vertical asymptotes occur where the denominator of a rational function is zero and the numerator is non - zero. Set the denominator equal to zero: $x - 9=0$.
Step2: Solve for x
Add 9 to both sides of the equation $x - 9=0$. $x=9$. We check the numerator at $x = 9$. Substitute $x = 9$ into the numerator $3x+27$: $3\times9 + 27=27 + 27=54\neq0$.
Answer:
$x = 9$