What is the domain of x/7+5/7+(2x+10)/(7(7x^2-2)) ?

The domain of x/7+5/7+(2x+10)/(7(7x^2-2)) is x sqrt(2/7)

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domain of x/7+5/7+(2x+10)/(7(7x^2-2))

domain

\frac{x}{7} + \frac{5}{7} + \frac{2 x + 10}{7 ( 7 x ^{2} - 2 )}

x < - \frac{2}{7} or - \frac{2}{7} < x < \frac{2}{7} or x > \frac{2}{7}

Interval Notation

(- \infty, - \frac{2}{7}) \cup (- \frac{2}{7}, \frac{2}{7}) \cup (\frac{2}{7}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{2}{7}, x = - \frac{2}{7}

The function domain

x < - \frac{2}{7} or - \frac{2}{7} < x < \frac{2}{7} or x > \frac{2}{7}

f (x) = 3 - 2 e^{- x}

f (x) = 9 x + 6

f (x) = 9 + 4 x^{2}

y = (x - 8)^{2}

f (x) = 3 x + 7 + 1

What is the domain of x/7+5/7+(2x+10)/(7(7x^2-2)) ?
The domain of x/7+5/7+(2x+10)/(7(7x^2-2)) is x<-sqrt(2/7)\lor-sqrt(2/7)<x<sqrt(2/7)\lor x>sqrt(2/7)