What is the domain of f(x)=(x^2-x-6)/(x^3-6x^2+9x-4) ?

The domain of f(x)=(x^2-x-6)/(x^3-6x^2+9x-4) is x 4

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-x-6)/(x^3-6x^2+9x-4)

domain

f (x) = \frac{x ^{2} - x - 6}{x ^{3} - 6 x ^{2} + 9 x - 4}

x < 1 or 1 < x < 4 or x > 4

Interval Notation

(- \infty, 1) \cup (1, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = 4

The function domain

x < 1 or 1 < x < 4 or x > 4

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

f (x) = 2^{x} + 4

\frac{x}{- 7 x ^{2} + 43 x - 6}

f (x) = 3 tan (2 x)

lo g_{x - 3} (x^{2} - 4)

What is the domain of f(x)=(x^2-x-6)/(x^3-6x^2+9x-4) ?
The domain of f(x)=(x^2-x-6)/(x^3-6x^2+9x-4) is x<1\lor 1<x<4\lor x>4