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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

domain

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

x < - \frac{1}{3} or - \frac{1}{3} < x < 2 or x > 2

Interval Notation

(- \infty, - \frac{1}{3}) \cup (- \frac{1}{3}, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - \frac{1}{3}

The function domain

x < - \frac{1}{3} or - \frac{1}{3} < x < 2 or x > 2

f (x) = \frac{1}{x ^{2} - 2 x - 8}

f (x) = x^{4} - 4 x^{3}

f (x) = 3 x^{4} + 8 x^{3}

y = 2 x + 1

f (x) = 6 tan (π x)

What is the domain of f(x)=(3-x^2)/(3x^2-5x-2) ?
The domain of f(x)=(3-x^2)/(3x^2-5x-2) is x<-1/3 \lor-1/3 <x<2\lor x>2