What is the domain of f(x)=(4x+5)/(x^2+3x-18) ?

The domain of f(x)=(4x+5)/(x^2+3x-18) 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)=(4x+5)/(x^2+3x-18)

domain

f (x) = \frac{4 x + 5}{x ^{2} + 3 x - 18}

x < - 6 or - 6 < x < 3 or x > 3

Interval Notation

(- \infty, - 6) \cup (- 6, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 6

The function domain

x < - 6 or - 6 < x < 3 or x > 3

f (x) = e^{- x} sin (x), x \geq 0

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

f (x) = \frac{x - 4}{2 x - 8}

f (x) = \frac{x ^{2} + 5 x}{x ^{2} + 4 x + 4}

\frac{4}{5 + x}

What is the domain of f(x)=(4x+5)/(x^2+3x-18) ?
The domain of f(x)=(4x+5)/(x^2+3x-18) is x<-6\lor-6<x<3\lor x>3