What is the domain of f(x)=(x-1)/(4+x|x|),x>-2 ?

The domain of f(x)=(x-1)/(4+x|x|),x>-2 is x>-2

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domain of f(x)=(x-1)/(4+x|x|),x>-2

domain

f (x) = \frac{x - 1}{4 + x ∣ x ∣}, x > - 2

x > - 2

Solution steps

Set the domain to the given interval

x > - 2

Find undefined (singularity) points:

No real undefined points

Join undefined points with the domain:

(x < - 2 or x > - 2) and x > - 2

x > - 2

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

f (x) = (3 x - 4) - (2 - x)

\frac{2 x}{x + 3}

f (x) = \frac{1}{1.5 x - 6.2 x ^{2}}

f (x) = ln (3 x - 6)

What is the domain of f(x)=(x-1)/(4+x|x|),x>-2 ?
The domain of f(x)=(x-1)/(4+x|x|),x>-2 is x>-2