What is the asymptotes of f(x)=arctan(x/(2-x)) ?

The asymptotes of f(x)=arctan(x/(2-x)) is Horizontal: y=-pi/4

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asymptotes of f(x)=arctan(x/(2-x))

asymptotes

f (x) = arctan (\frac{x}{2 - x})

Horizontal : y = - \frac{π}{4}

Solution steps

Vertical asymptotes of

arctan (\frac{x}{2 - x}) :

None

Horizontal Asymptotes of

arctan (\frac{x}{2 - x}) : y = - \frac{π}{4}

Slant Asymptotes of

arctan (\frac{x}{2 - x}) :

None

Horizontal : y = - \frac{π}{4}

What is the asymptotes of f(x)=arctan(x/(2-x)) ?
The asymptotes of f(x)=arctan(x/(2-x)) is Horizontal: y=-pi/4