What is the domain of f(x)=2tan(3t-pi) ?

The domain of f(x)=2tan(3t-pi) is pi/3 n<= t< pi/6+pi/3 n\lor pi/6+pi/3 n<t< pi/3+pi/3 n

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

domain of f(x)=2tan(3t-pi)

domain

f (x) = 2 tan (3 t - π)

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

2 tan (3 t - π)

and compare to zero:

t = \frac{π}{6} + \frac{π}{3} n

Periodicity of

2 tan (3 t - π) : \frac{π}{3}

Combine period:

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

and undefined points.

The domain is

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

What is the domain of f(x)=2tan(3t-pi) ?
The domain of f(x)=2tan(3t-pi) is pi/3 n<= t< pi/6+pi/3 n\lor pi/6+pi/3 n<t< pi/3+pi/3 n