What is the domain of 1/(x^2-5x+6) ?

The domain of 1/(x^2-5x+6) is x 3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of 1/(x^2-5x+6)

domain

\frac{1}{x ^{2} - 5 x + 6}

x < 2 or 2 < x < 3 or x > 3

Interval Notation

(- \infty, 2) \cup (2, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = 2

The function domain

x < 2 or 2 < x < 3 or x > 3

f (x) = \frac{2 x + 1}{x ^{2} - 4 x + 3}

\frac{( x - 1 ) ^{2}}{( x - 1 ) ^{2} + 1}

- x + 2

f (x) = \frac{2 e ^{x}}{- 3 + 5 e ^{- x}}

10 x + 20 y = 200

What is the domain of 1/(x^2-5x+6) ?
The domain of 1/(x^2-5x+6) is x<2\lor 2<x<3\lor x>3