What is the domain of f(x)=(10)/x+(x^2-4)/(x-2) ?

The domain of f(x)=(10)/x+(x^2-4)/(x-2) 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)=(10)/x+(x^2-4)/(x-2)

domain

f (x) = \frac{10}{x} + \frac{x ^{2} - 4}{x - 2}

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 = 0, x = 2

The function domain

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

y = \frac{2 x - 7}{x - 3}

θ

π

- x^{2} + x

f (x) = \frac{x - 2}{x + 7}

What is the domain of f(x)=(10)/x+(x^2-4)/(x-2) ?
The domain of f(x)=(10)/x+(x^2-4)/(x-2) is x<0\lor 0<x<2\lor x>2