What is the domain of f(x)=(2-x)/(x^2-2x) ?

The domain of f(x)=(2-x)/(x^2-2x) is x 2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of f(x)=(2-x)/(x^2-2x)

domain

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

x < 0 or 0 < x < 2 or x > 2

Interval Notation

(- \infty, 0) \cup (0, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = 0

The function domain

x < 0 or 0 < x < 2 or x > 2

x (x + 11) (x - 6)

f (x) = 7 x - 5

y = - 2 x + 7

y = (x - 3) (x + 3)

\frac{x + 6}{x - 3}

What is the domain of f(x)=(2-x)/(x^2-2x) ?
The domain of f(x)=(2-x)/(x^2-2x) is x<0\lor 0<x<2\lor x>2