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

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

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

domain

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

x < \frac{1}{6} or x > \frac{1}{6}

Interval Notation

(- \infty, \frac{1}{6}) \cup (\frac{1}{6}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{1}{6}

The function domain

x < \frac{1}{6} or x > \frac{1}{6}

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