Give the equations of any horizontal asymptotes.
-$$g ( x ) = \frac { x + 3 } { x ^ { 2 } - 2 }$$
A) none
B) $y = 0$
C) $y = 2$
D) $y = 1$

Question

Quizplus · Accepted Answer

Horizontal asymptotes occur when x approaches infinity. For the given function $g(x) = \frac{x + 3}{x^2 - 2}$, as $x$ approaches infinity, the degree of the polynomial in the denominator is higher than that in the numerator. This means the function approaches $0$, so there is a horizontal asymptote at $y = 0$.

Give the Equations of Any Horizontal Asymptotes g(x)=x+3x2−2g ( x ) = \frac { x + 3 } { x ^ { 2 } - 2 }g(x)=x2−2x+3​

Give the Equations of Any Horizontal Asymptotes $g ( x ) = \frac { x + 3 } { x ^ { 2 } - 2 }$