What is the domain of f(x)=(x+3)/(x^2-3x-10) ?

The domain of f(x)=(x+3)/(x^2-3x-10) is x 5

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+3)/(x^2-3x-10)

domain

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

4^{x} - 5

4 (\frac{1}{2})^{x}

y^{2} (5 y + 3) (y - 6) > 0

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

\frac{x}{9 x - 5}

What is the domain of f(x)=(x+3)/(x^2-3x-10) ?
The domain of f(x)=(x+3)/(x^2-3x-10) is x<-2\lor-2<x<5\lor x>5