What is the domain of f(x)=(x(x+|x|))/(ln(x^2+1)) ?

The domain of f(x)=(x(x+|x|))/(ln(x^2+1)) is x 0

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domain of f(x)=(x(x+|x|))/(ln(x^2+1))

domain

f (x) = \frac{x ( x + ∣ x ∣ )}{ln ( x ^{2} + 1 )}

x < 0 or x > 0

Interval Notation

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

Solution steps

Find positive values for logs:

- \infty < x < \infty

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or x > 0

\frac{- 9 - 7 x}{3}

f (t) = t - 1

3 x^{2} - x

f (x) = \frac{( 2 x - 10 )}{( x ^{2} - 8 x + 15 )}

3 x^{2} - 4

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