What is the domain of-3csc(2pix) ?

The domain of-3csc(2pix) is 1<x< 1/2+1\lor 1/2+1<x<1+1

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domain of-3csc(2pix)

domain

- 3 csc (2 π x)

1 < x < \frac{1}{2} + 1 or \frac{1}{2} + 1 < x < 1 + 1

Interval Notation

(1, \frac{1}{2} + 1) \cup (\frac{1}{2} + 1, 1 + 1)

Solution steps

Take the denominator(s) of

- 3 csc (2 π x)

and compare to zero:

x = 1 \cdot n, x = \frac{1}{2} + 1 \cdot n

Periodicity of

- 3 csc (2 π x) : 1

Combine period:

1 \leq x < 1 + 1

and undefined points.

The domain is

1 < x < \frac{1}{2} + 1 or \frac{1}{2} + 1 < x < 1 + 1

\frac{1 + cos ( x )}{1 - cos ( x )}

y

f (x) = (x + 2)^{(\frac{1}{3})}

f (x) = lo g_{8} (3 x + 2)

f (x) = 5 x - 25

What is the domain of-3csc(2pix) ?
The domain of-3csc(2pix) is 1<x< 1/2+1\lor 1/2+1<x<1+1