What is the asymptotes of f(x)=(4x^2)/(x^2+9) ?

The asymptotes of f(x)=(4x^2)/(x^2+9) is Horizontal: y=4

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asymptotes of f(x)=(4x^2)/(x^2+9)

asymptotes

f (x) = \frac{4 x ^{2}}{x ^{2} + 9}

Horizontal : y = 4

Solution steps

Vertical asymptotes of

\frac{4 x ^{2}}{x ^{2} + 9} :

None

Horizontal Asymptotes of

\frac{4 x ^{2}}{x ^{2} + 9} : y = 4

Slant Asymptotes of

\frac{4 x ^{2}}{x ^{2} + 9} :

None

Horizontal : y = 4

f (x) = \frac{x ^{2}}{( x - 3 ) ^{2}}

f (x) = \frac{( 3 x ^{2} - 2 )}{( x + 5 )}

f (x) = 2^{x - 3} - 1

f (x) = x^{2} - 2 x

\frac{x ^{2}}{9 - x ^{2}}

What is the asymptotes of f(x)=(4x^2)/(x^2+9) ?
The asymptotes of f(x)=(4x^2)/(x^2+9) is Horizontal: y=4