find all horizontal asymptotes of the following function. f(x) = (3x - 27)/(5x^2 - 52x + 63)
find all horizontal asymptotes of the following function. f(x) = (3x - 27)/(5x^2 - 52x + 63)
Answer
Explanation:
Step1: Determine the degrees of numerator and denominator
The degree of the numerator $n = 1$ (since the highest - power of $x$ in $3x - 27$ is 1), and the degree of the denominator $m=2$ (since the highest - power of $x$ in $5x^{2}-52x + 63$ is 2).
Step2: Apply the horizontal asymptote rule
When $n\lt m$, the horizontal asymptote is $y = 0$.
Answer:
$y = 0$