What is the domain of f(x)=(x^2)/(ln(x^2)) ?

The domain of f(x)=(x^2)/(ln(x^2)) is x 1

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domain of f(x)=(x^2)/(ln(x^2))

domain

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

x < - 1 or - 1 < x < 0 or 0 < x < 1 or x > 1

Interval Notation

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

Solution steps

Find positive values for logs:

x < 0 or x > 0

Find undefined (singularity) points:

x = 1, x = - 1

Combine real regions and undefined points for final function domain

x < - 1 or - 1 < x < 0 or 0 < x < 1 or x > 1

\frac{1}{3 x - 7}

f (x) = e^{x - 2} + 3

ln (x)

4 x^{2} - 10 x + 3

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