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

The domain of 1/(sqrt(xln(x^2-1))) is -sqrt(2) sqrt(2)

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domain of 1/(sqrt(xln(x^2-1)))

domain

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

- 2 < x < - 1 or x > 2

Interval Notation

(- 2, - 1) \cup (2, \infty)

Solution steps

Find non-negative values for radicals:

- 2 \leq x < - 1 or x \geq 2

Find undefined (singularity) points:

x = 2, x = - 2

Combine real regions and undefined points for final function domain

- 2 < x < - 1 or x > 2

f (x) = 4 x - 2 ln (x)

\frac{3 - x}{x ^{2} - 1}

(1 - \frac{3}{x})^{x}

f (x) = x + ln (x)

f (x) = ∣ 2 x - 1 ∣

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