What is the domain of f(x)=(3x-7)/(9x+6) ?

The domain of f(x)=(3x-7)/(9x+6) is x -2/3

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domain of f(x)=(3x-7)/(9x+6)

domain

f (x) = \frac{3 x - 7}{9 x + 6}

x < - \frac{2}{3} or x > - \frac{2}{3}

Interval Notation

(- \infty, - \frac{2}{3}) \cup (- \frac{2}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{2}{3}

The function domain

x < - \frac{2}{3} or x > - \frac{2}{3}

What is the domain of f(x)=(3x-7)/(9x+6) ?
The domain of f(x)=(3x-7)/(9x+6) is x<-2/3 \lor x>-2/3