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

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

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domain of 5cot(8x)+3

domain

5 cot (8 x) + 3

\frac{π}{8} n < x < \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

10 x

x + 3 - 1

f (x) = \frac{4 x - 3}{x - 1}

y = x - 5

f (x) = - 9 + 3

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