find the horizontal asymptote of the given function. g(x) = (x + 9)/(x^2 - 5) a. y = 1 b. y = 0 c. none d. y…
find the horizontal asymptote of the given function. g(x) = (x + 9)/(x^2 - 5) a. y = 1 b. y = 0 c. none d. y = 5
Answer
Explanation:
Step1: Identify degrees of polynomials
The degree of the numerator $n = 1$ (for $x+9$) and the degree of the denominator $m=2$ (for $x^{2}-5$).
Step2: Apply horizontal - asymptote rule
When $n < m$, the horizontal asymptote is $y = 0$.
Answer:
B. $y = 0$