What is the domain of f(x)=(x^2+3x-2)/(x^2-5x+6) ?

The domain of f(x)=(x^2+3x-2)/(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 f(x)=(x^2+3x-2)/(x^2-5x+6)

domain

f (x) = \frac{x ^{2} + 3 x - 2}{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{( 3 x )}{7 x + 14}

f (x) = 2 x^{3} - 9 x^{2} - 24 x + 20

f (x) = 3 x^{3} + 2

9 x - 16

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

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