What is the domain of-8csc(pi/3 x) ?

The domain of-8csc(pi/3 x) is 6n<x<3+6n\lor 3+6n<x<6+6n

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domain of-8csc(pi/3 x)

domain

- 8 csc (\frac{π}{3} x)

6 n < x < 3 + 6 n or 3 + 6 n < x < 6 + 6 n

Interval Notation

(6 n, 3 + 6 n) \cup (3 + 6 n, 6 + 6 n)

Solution steps

Take the denominator(s) of

- 8 csc (\frac{π}{3} x)

and compare to zero:

x = 6 n, x = 3 + 6 n

Periodicity of

- 8 csc (\frac{π}{3} x) : 6

Combine period:

6 n \leq x < 6 + 6 n

and undefined points.

The domain is

6 n < x < 3 + 6 n or 3 + 6 n < x < 6 + 6 n

\frac{1}{x - 1}, x = 3

y = \frac{x ^{2} + x - 2}{2 x ^{2} - 2}

\frac{1}{4} x^{3} - 6

(- 6.9) (4.5)

f (x) = csc (x)

What is the domain of-8csc(pi/3 x) ?
The domain of-8csc(pi/3 x) is 6n<x<3+6n\lor 3+6n<x<6+6n