find all vertical asymptotes of the following function.\nf(x)=\frac{3x - 6}{x - 10}\nanswer attempt 1 out of…

find all vertical asymptotes of the following function.\nf(x)=\frac{3x - 6}{x - 10}\nanswer attempt 1 out of 2\nno vertical asymptotes\nsubmit answer

find all vertical asymptotes of the following function.\nf(x)=\frac{3x - 6}{x - 10}\nanswer attempt 1 out of 2\nno vertical asymptotes\nsubmit answer

Answer

Explanation:

Step1: Recall vertical - asymptote condition

Vertical asymptotes occur where the denominator of a rational function is zero and the numerator is non - zero. Set the denominator equal to zero: $x - 10=0$.

Step2: Solve for x

Adding 10 to both sides of the equation $x - 10 = 0$, we get $x=10$. When $x = 10$, the numerator $3x-6=3\times10 - 6=30 - 6 = 24\neq0$.

Answer:

$x = 10$