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

The asymptotes of f(x)=2csc(3(x-pi/4)) is Vertical: x=(7pi}{12}+\frac{2pi)/3 n,x= pi/4+(2pi)/3 n

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asymptotes of f(x)=2csc(3(x-pi/4))

asymptotes

f (x) = 2 csc (3 (x - \frac{π}{4}))

Vertical : x = \frac{7 π}{12} + \frac{2 π}{3} n, x = \frac{π}{4} + \frac{2 π}{3} n

Solution steps

Vertical asymptotes of

2 csc (3 (x - \frac{π}{4})) : x = \frac{7 π}{12} + \frac{2 π}{3} n, x = \frac{π}{4} + \frac{2 π}{3} n

Horizontal Asymptotes of

2 csc (3 (x - \frac{π}{4})) :

None

Slant Asymptotes of

2 csc (3 (x - \frac{π}{4})) :

None

Vertical : x = \frac{7 π}{12} + \frac{2 π}{3} n, x = \frac{π}{4} + \frac{2 π}{3} n

\frac{- 5 x}{x - 8}

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

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

f (x) = x^{3} + 2 x^{2} + x - 7

5 x^{2} - 5 x

What is the asymptotes of f(x)=2csc(3(x-pi/4)) ?
The asymptotes of f(x)=2csc(3(x-pi/4)) is Vertical: x=(7pi}{12}+\frac{2pi)/3 n,x= pi/4+(2pi)/3 n