How do you find all the asymptotes for function $f (x) = \frac{3 x^{2}}{x^{2} + 3}$ $f(x)=(3x^2)/(x^2+3)$ ?

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Answer 1 · 2015-05-29T15:54:17

No vertical asymptote, because (x^2 + 3) is always positive.

Horizontal asymptote: y = 3 when x -> infinity.

graph{(3x^2)/(x^2 + 3) [-10, 10, -5, 5]}

How do you find all the asymptotes for function f(x)=(3x^2)/(x^2+3)f(x)=3x2x2+3f(x)=(3x^2)/(x^2+3)?