What is the domain of x/7+5/7+(3x+15)/(7(7x^2-3)) ?

The domain of x/7+5/7+(3x+15)/(7(7x^2-3)) is x sqrt(3/7)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

domain of x/7+5/7+(3x+15)/(7(7x^2-3))

domain

x < - \frac{3}{7} or - \frac{3}{7} < x < \frac{3}{7} or x > \frac{3}{7}

Interval Notation

(- \infty, - \frac{3}{7}) \cup (- \frac{3}{7}, \frac{3}{7}) \cup (\frac{3}{7}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{3}{7}, x = - \frac{3}{7}

The function domain

x < - \frac{3}{7} or - \frac{3}{7} < x < \frac{3}{7} or x > \frac{3}{7}

What is the domain of x/7+5/7+(3x+15)/(7(7x^2-3)) ?
The domain of x/7+5/7+(3x+15)/(7(7x^2-3)) is x<-sqrt(3/7)\lor-sqrt(3/7)<x<sqrt(3/7)\lor x>sqrt(3/7)