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

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}

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