What is the asymptotes of f(x)=(x^2+4)/(x-3) ?

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

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asymptotes of f(x)=(x^2+4)/(x-3)

asymptotes

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

Vertical : x = 3, Slant : y = x + 3

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 4}{x - 3} : x = 3

Horizontal Asymptotes of

\frac{x ^{2} + 4}{x - 3} :

None

Slant Asymptotes of

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

Vertical : x = 3, Slant : y = x + 3

f (x) = \frac{x + 7}{x + 4}

f (x) = 6 x - 12 - 3 x^{2}

y = 12 \cdot \frac{( 3 ) ( 2 )}{4}

12 x - 3 y = - 3

\frac{x + 5}{x - 3}

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