What is the domain of f(x)=3cot(2x) ?

The domain of f(x)=3cot(2x) is pi/2 n<x< pi/2+pi/2 n

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domain of f(x)=3cot(2x)

domain

f (x) = 3 cot (2 x)

\frac{π}{2} n < x < \frac{π}{2} + \frac{π}{2} n

Interval Notation

(\frac{π}{2} n, \frac{π}{2} + \frac{π}{2} n)

Solution steps

Take the denominator(s) of

3 cot (2 x)

and compare to zero:

x = \frac{π}{2} n

Periodicity of

3 cot (2 x) : \frac{π}{2}

Combine period:

\frac{π}{2} n \leq x < \frac{π}{2} + \frac{π}{2} n

and undefined points.

The domain is

\frac{π}{2} n < x < \frac{π}{2} + \frac{π}{2} n

f (x) = \frac{8}{x + 1}

f (x) = \frac{1}{2} x + π

f (x) = \frac{8}{x + 2}

3 x - 24

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

What is the domain of f(x)=3cot(2x) ?
The domain of f(x)=3cot(2x) is pi/2 n<x< pi/2+pi/2 n