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

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

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

asymptotes

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

Vertical : x = - 2, Slant : y = x - 2, y = - x + 2

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Vertical : x = - 2, Slant : y = x - 2, y = - x + 2

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

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

f (x) = (x^{2} + 11) (9 - x^{2})

\frac{5 x ^{2} + 49 x + 72}{2 x + 20}

3 a^{2} - 5 a + 1

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