What is the domain of tan(-2x) ?

The domain of tan(-2x) is pi/2 n<= x< pi/4+pi/2 n\lor pi/4+pi/2 n<x< pi/2+pi/2 n

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domain of tan(-2x)

domain

tan (- 2 x)

\frac{π}{2} n \leq x < \frac{π}{4} + \frac{π}{2} n or \frac{π}{4} + \frac{π}{2} n < x < \frac{π}{2} + \frac{π}{2} n

Interval Notation

[\frac{π}{2} n, \frac{π}{4} + \frac{π}{2} n) \cup (\frac{π}{4} + \frac{π}{2} n, \frac{π}{2} + \frac{π}{2} n)

Solution steps

Take the denominator(s) of

tan (- 2 x)

and compare to zero:

x = \frac{π}{4} + \frac{π}{2} n

Periodicity of

tan (- 2 x) : \frac{π}{2}

Combine period:

\frac{π}{2} n \leq x < \frac{π}{2} + \frac{π}{2} n

and undefined points.

The domain is

\frac{π}{2} n \leq x < \frac{π}{4} + \frac{π}{2} n or \frac{π}{4} + \frac{π}{2} n < x < \frac{π}{2} + \frac{π}{2} n

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

f (x) = \frac{( x - 2 )}{x ^{2} - 4}

f (x) = \frac{x}{x ^{2} - 2 x}

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

f (x) = \frac{x ^{3} - 3 x ^{2} - 4 x}{x - 4}

What is the domain of tan(-2x) ?
The domain of tan(-2x) is pi/2 n<= x< pi/4+pi/2 n\lor pi/4+pi/2 n<x< pi/2+pi/2 n