What is the asymptotes of f(x)=(x^2+7)/(x^2-2) ?

The asymptotes of f(x)=(x^2+7)/(x^2-2) is Vertical: x=-sqrt(2),x=sqrt(2),Horizontal: y=1

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asymptotes of f(x)=(x^2+7)/(x^2-2)

asymptotes

f (x) = \frac{x ^{2} + 7}{x ^{2} - 2}

Vertical : x = - 2, x = 2, Horizontal : y = 1

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 7}{x ^{2} - 2} : x = - 2, x = 2

Horizontal Asymptotes of

\frac{x ^{2} + 7}{x ^{2} - 2} : y = 1

Slant Asymptotes of

\frac{x ^{2} + 7}{x ^{2} - 2} :

None

Vertical : x = - 2, x = 2, Horizontal : y = 1

\frac{1}{2} x

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

\frac{9 x ^{2} - 64}{2 x + 14}

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

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

What is the asymptotes of f(x)=(x^2+7)/(x^2-2) ?
The asymptotes of f(x)=(x^2+7)/(x^2-2) is Vertical: x=-sqrt(2),x=sqrt(2),Horizontal: y=1