What is the domain of f(x)=(x^2-x-2)/(x^2-7x+10) ?

The domain of f(x)=(x^2-x-2)/(x^2-7x+10) is x 5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

domain of f(x)=(x^2-x-2)/(x^2-7x+10)

domain

f (x) = \frac{x ^{2} - x - 2}{x ^{2} - 7 x + 10}

x < 2 or 2 < x < 5 or x > 5

Interval Notation

(- \infty, 2) \cup (2, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = 2

The function domain

x < 2 or 2 < x < 5 or x > 5

What is the domain of f(x)=(x^2-x-2)/(x^2-7x+10) ?
The domain of f(x)=(x^2-x-2)/(x^2-7x+10) is x<2\lor 2<x<5\lor x>5