What is the domain of f(x)=(x-1)/(xsqrt(1-x))-(sqrt(x+1))/(13) ?

The domain of f(x)=(x-1)/(xsqrt(1-x))-(sqrt(x+1))/(13) is -1<= x<0\lor 0<x<1

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domain of f(x)=(x-1)/(xsqrt(1-x))-(sqrt(x+1))/(13)

domain

f (x) = \frac{x - 1}{x 1 - x} - \frac{x + 1}{13}

- 1 \leq x < 0 or 0 < x < 1

Interval Notation

[- 1, 0) \cup (0, 1)

Solution steps

Find non-negative values for radicals:

- 1 \leq x \leq 1

Find undefined (singularity) points:

x = 0, x = 1

Combine real regions and undefined points for final function domain

- 1 \leq x < 0 or 0 < x < 1

What is the domain of f(x)=(x-1)/(xsqrt(1-x))-(sqrt(x+1))/(13) ?
The domain of f(x)=(x-1)/(xsqrt(1-x))-(sqrt(x+1))/(13) is -1<= x<0\lor 0<x<1