What is the domain of f(x)=5cot(8x)+3 ?

The domain of f(x)=5cot(8x)+3 is pi/8 n<x< pi/8+pi/8 n

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domain of f(x)=5cot(8x)+3

domain

f (x) = 5 cot (8 x) + 3

\frac{π}{8} n < x < \frac{π}{8} + \frac{π}{8} n

Interval Notation

(\frac{π}{8} n, \frac{π}{8} + \frac{π}{8} n)

Solution steps

Take the denominator(s) of

5 cot (8 x) + 3

and compare to zero:

x = \frac{π}{8} n

Periodicity of

5 cot (8 x) + 3 : \frac{π}{8}

Combine period:

\frac{π}{8} n \leq x < \frac{π}{8} + \frac{π}{8} n

and undefined points.

The domain is

\frac{π}{8} n < x < \frac{π}{8} + \frac{π}{8} n

3 x - 1

\frac{1}{2} x - 6

\frac{1}{2} x + 4

\frac{x ^{2} - 1}{3 x + 4}

\frac{x}{x ^{2} + 1}

What is the domain of f(x)=5cot(8x)+3 ?
The domain of f(x)=5cot(8x)+3 is pi/8 n<x< pi/8+pi/8 n