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

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

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

domain

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

0 < x < 1 or x > 1

Interval Notation

(0, 1) \cup (1, \infty)

Solution steps

Find positive values for logs:

x > 0

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

0 < x < 1 or x > 1

f (x) = \frac{1}{2 x ^{2} + x}

f (x) = 2 x^{2} + 5

f (x) = lo g_{3} (2 x - 1) - 2

y = - 4

y = \frac{x ^{2} + x - 6}{x - 2}

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