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)

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

domain

\frac{x}{7} + \frac{5}{7} + \frac{3 x + 15}{7 ( 7 x ^{2} - 3 )}

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}

3 + x - 4

\frac{n}{x}

8 x^{4} - 40 x^{2}

ln (x + 2) + ln (x - 1)

(\frac{1}{10})^{x}

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)