What is the domain of f(x)=tan(2x) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of f(x)=tan(2x)

domain

f (x) = 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

- x^{2} - 5

12 x

y = 10 csc (6 x^{4} - 4 x + 5)

\frac{x ^{2} + 10 x + 21}{x ^{2} - 10 x + 16}

\frac{8 x - 3}{x}

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