What is the domain of f(x)= 1/(7x+6) ?

The domain of f(x)= 1/(7x+6) is x -6/7

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domain of f(x)= 1/(7x+6)

domain

f (x) = \frac{1}{7 x + 6}

x < - \frac{6}{7} or x > - \frac{6}{7}

Interval Notation

(- \infty, - \frac{6}{7}) \cup (- \frac{6}{7}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{6}{7}

The function domain

x < - \frac{6}{7} or x > - \frac{6}{7}

f (x) = \frac{1}{x - 1} + 1

f (x) = \frac{x ^{2} - 7 x + 12}{x ^{2} - 9}

f (x) = x^{2} - 7 x

\frac{x ^{3} + 2 x}{x}

\frac{x}{x ^{2} + 15 x + 54}

What is the domain of f(x)= 1/(7x+6) ?
The domain of f(x)= 1/(7x+6) is x<-6/7 \lor x>-6/7