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

f (x) = 3 x - 9, - 1 \leq x \leq 7

f (x) = \frac{1}{x - 3} + 6

5 - x + 3 x - 1

f (x) = ln (\frac{x}{x - 3})

f (x) = x + sin (x) + x (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