What is the asymptotes of f(x)=((x+1)^2)/(x+3) ?

The asymptotes of f(x)=((x+1)^2)/(x+3) is Vertical: x=-3,Slant: y=x-1

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asymptotes of f(x)=((x+1)^2)/(x+3)

asymptotes

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

Vertical : x = - 3, Slant : y = x - 1

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

\frac{( x + 1 ) ^{2}}{x + 3} :

None

Slant Asymptotes of

\frac{( x + 1 ) ^{2}}{x + 3} : y = x - 1

Vertical : x = - 3, Slant : y = x - 1

\frac{1}{( y ^{2} + 1 ) ^{\frac{1}{2}}} y

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

f (x) = \frac{8}{x - 7}

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

\frac{x ^{2} + 5 x - 8}{x - 8}

What is the asymptotes of f(x)=((x+1)^2)/(x+3) ?
The asymptotes of f(x)=((x+1)^2)/(x+3) is Vertical: x=-3,Slant: y=x-1