What is the domain of f(x)= 1/(log_{10)(x)+1} ?

The domain of f(x)= 1/(log_{10)(x)+1} is 0 1/10

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domain of f(x)= 1/(log_{10)(x)+1}

domain

f (x) = \frac{1}{lo g _{10} ( x ) + 1}

0 < x < \frac{1}{10} or x > \frac{1}{10}

Interval Notation

(0, \frac{1}{10}) \cup (\frac{1}{10}, \infty)

Solution steps

Find positive values for logs:

x > 0

Find undefined (singularity) points:

x = \frac{1}{10}

Combine real regions and undefined points for final function domain

0 < x < \frac{1}{10} or x > \frac{1}{10}

What is the domain of f(x)= 1/(log_{10)(x)+1} ?
The domain of f(x)= 1/(log_{10)(x)+1} is 0<x< 1/10 \lor x> 1/10