What is the domain of f(x)=2cot(6x)+1 ?

The domain of f(x)=2cot(6x)+1 is pi/6 n<x< pi/6+pi/6 n

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domain of f(x)=2cot(6x)+1

domain

f (x) = 2 cot (6 x) + 1

\frac{π}{6} n < x < \frac{π}{6} + \frac{π}{6} n

Interval Notation

(\frac{π}{6} n, \frac{π}{6} + \frac{π}{6} n)

Solution steps

Take the denominator(s) of

2 cot (6 x) + 1

and compare to zero:

x = \frac{π}{6} n

Periodicity of

2 cot (6 x) + 1 : \frac{π}{6}

Combine period:

\frac{π}{6} n \leq x < \frac{π}{6} + \frac{π}{6} n

and undefined points.

The domain is

\frac{π}{6} n < x < \frac{π}{6} + \frac{π}{6} n

y = 2 cot (6 x) + 1

- 3 x + 6

- 3 x - 2

f (x) = ln (x) + 1

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

What is the domain of f(x)=2cot(6x)+1 ?
The domain of f(x)=2cot(6x)+1 is pi/6 n<x< pi/6+pi/6 n