What is the domain of f(x)=(ln(x-1))/(sqrt(x^3-2x)) ?

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

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

domain

f (x) = \frac{ln ( x - 1 )}{x ^{3} - 2 x}

x > 2

Interval Notation

(2, \infty)

Solution steps

Find non-negative values for radicals:

- 2 \leq x \leq 0 or x \geq 2

Find positive values for logs:

x > 1

Find undefined (singularity) points:

x = 0, x = - 2, x = 2

Combine real regions and undefined points for final function domain

x > 2

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

\frac{1 - 10 a + 25 a ^{2}}{5 a - 1}

f (x) = x^{2} - 9 x - 36

7 x + 4

f (x) = x (6 - x)

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