What is the domain of f(x)= 1/(7x+2) ?

The domain of f(x)= 1/(7x+2) is x -2/7

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domain of f(x)= 1/(7x+2)

domain

f (x) = \frac{1}{7 x + 2}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - \frac{2}{7}

The function domain

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

y = 3 x - 12

f (x) = \frac{x ^{2} - 3 x + 2}{x ^{2} + 7 x + 12}

f (x) = \frac{6}{x + 3}

f (x) = 3 ln ∣ 3 x - 5 ∣ + 2

\frac{2 x ^{2} - 5 x - 3}{x - 3}

What is the domain of f(x)= 1/(7x+2) ?
The domain of f(x)= 1/(7x+2) is x<-2/7 \lor x>-2/7