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

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

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

asymptotes

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}

y + 2 = 4 (x - 3)

\frac{x}{x ^{2} + 9}

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

(- 2, 1), (4, 3)

- x^{2} + 6 x + 1

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