What is the domain of f(x)=(2x^2-3x)/(x^2-x-12) ?

The domain of f(x)=(2x^2-3x)/(x^2-x-12) 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)=(2x^2-3x)/(x^2-x-12)

domain

f (x) = \frac{2 x ^{2} - 3 x}{x ^{2} - x - 12}

x < - 3 or - 3 < x < 4 or x > 4

Interval Notation

(- \infty, - 3) \cup (- 3, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = - 3

The function domain

x < - 3 or - 3 < x < 4 or x > 4

f (x) = 35 + 2 e^{- 2 x + 3}

\frac{x ^{2}}{- x + 8}

- \frac{15}{8}

f (x) = \frac{\frac{1}{x}}{x ^{2} - 9}

What is the domain of f(x)=(2x^2-3x)/(x^2-x-12) ?
The domain of f(x)=(2x^2-3x)/(x^2-x-12) is x<-3\lor-3<x<4\lor x>4