What is the domain of f(x)=((6-6x))/((2+6x)) ?

The domain of f(x)=((6-6x))/((2+6x)) is x -1/3

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domain of f(x)=((6-6x))/((2+6x))

domain

x < - \frac{1}{3} or x > - \frac{1}{3}

Interval Notation

(- \infty, - \frac{1}{3}) \cup (- \frac{1}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{1}{3}

The function domain

x < - \frac{1}{3} or x > - \frac{1}{3}

What is the domain of f(x)=((6-6x))/((2+6x)) ?
The domain of f(x)=((6-6x))/((2+6x)) is x<-1/3 \lor x>-1/3