What is the domain of f(x)=(sqrt(x))/(x^2-1) ?

The domain of f(x)=(sqrt(x))/(x^2-1) is 0 1

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domain of f(x)=(sqrt(x))/(x^2-1)

domain

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

0 \leq x < 1 or x > 1

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = 1, x = - 1

Combine real regions and undefined points for final function domain

0 \leq x < 1 or x > 1

f (x) = 27 - 3 x

(2) (8.2)

\frac{x ^{2} - 3 x - 4}{x ^{2} - 4 x}

4 (x + 2) = y + x

\frac{x}{8 x + 1}

What is the domain of f(x)=(sqrt(x))/(x^2-1) ?
The domain of f(x)=(sqrt(x))/(x^2-1) is 0<= x<1\lor x>1