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

The asymptotes of f(x)=sqrt(4+x^2*4/9) is Slant: y= 2/3 x,y=-2/3 x

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

asymptotes

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

Slant : y = \frac{2}{3} x, y = - \frac{2}{3} x

Solution steps

Vertical asymptotes of

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

None

Horizontal Asymptotes of

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

None

Slant Asymptotes of

4 + x^{2} \cdot \frac{4}{9} : y = \frac{2}{3} x, y = - \frac{2}{3} x

Slant : y = \frac{2}{3} x, y = - \frac{2}{3} x

1 - lo g_{10} (x)

f (x) = \frac{2 x ^{3} - 4 x + 1}{x ^{3} - 1}

f (x) = \frac{- 2 x ^{2} + 5 - 1}{2 x - 1}

f (x) = 2 x - 4 x^{2} - x + 1

f (x) = \frac{x + 4}{2 x - 8}

What is the asymptotes of f(x)=sqrt(4+x^2*4/9) ?
The asymptotes of f(x)=sqrt(4+x^2*4/9) is Slant: y= 2/3 x,y=-2/3 x