What is the domain of y=tan(3x) ?

The domain of y=tan(3x) is pi/3 n<= x< pi/6+pi/3 n\lor pi/6+pi/3 n<x< pi/3+pi/3 n

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of y=tan(3x)

domain

y = tan (3 x)

\frac{π}{3} n \leq x < \frac{π}{6} + \frac{π}{3} n or \frac{π}{6} + \frac{π}{3} n < x < \frac{π}{3} + \frac{π}{3} n

Interval Notation

[\frac{π}{3} n, \frac{π}{6} + \frac{π}{3} n) \cup (\frac{π}{6} + \frac{π}{3} n, \frac{π}{3} + \frac{π}{3} n)

Solution steps

Take the denominator(s) of

tan (3 x)

and compare to zero:

x = \frac{π}{6} + \frac{π}{3} n

Periodicity of

tan (3 x) : \frac{π}{3}

Combine period:

\frac{π}{3} n \leq x < \frac{π}{3} + \frac{π}{3} n

and undefined points.

The domain is

\frac{π}{3} n \leq x < \frac{π}{6} + \frac{π}{3} n or \frac{π}{6} + \frac{π}{3} n < x < \frac{π}{3} + \frac{π}{3} n

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

y = 2 x^{2} + 4 x - 6

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

f (x) = x^{2} ln (4 + 6 x)

f (x) = arcsin (x^{2} - 2)

What is the domain of y=tan(3x) ?
The domain of y=tan(3x) is pi/3 n<= x< pi/6+pi/3 n\lor pi/6+pi/3 n<x< pi/3+pi/3 n