What is the domain of f(x)=(2x-3)/(sqrt(x^3-x)) ?

The domain of f(x)=(2x-3)/(sqrt(x^3-x)) is -1 1

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domain of f(x)=(2x-3)/(sqrt(x^3-x))

domain

f (x) = \frac{2 x - 3}{x ^{3} - x}

- 1 < x < 0 or x > 1

Interval Notation

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

Solution steps

Find non-negative values for radicals:

- 1 \leq x \leq 0 or x \geq 1

Find undefined (singularity) points:

x = 0, x = - 1, x = 1

Combine real regions and undefined points for final function domain

- 1 < x < 0 or x > 1

\frac{2 x - 3}{4}

x^{4} - 4 x^{2}

\frac{13}{13 - x}

y = ln (\frac{- x + 3}{2})

f (x) = \frac{4}{( 2 x - 8 )}

What is the domain of f(x)=(2x-3)/(sqrt(x^3-x)) ?
The domain of f(x)=(2x-3)/(sqrt(x^3-x)) is -1<x<0\lor x>1