What is the domain of f(x)=(-x^2)/(5|x|-3x) ?

The domain of f(x)=(-x^2)/(5|x|-3x) is x 0

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domain of f(x)=(-x^2)/(5|x|-3x)

domain

f (x) = \frac{- x ^{2}}{5 ∣ x ∣ - 3 x}

x < 0 or x > 0

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

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

\frac{x + 3}{x - 5}

\frac{2 x - 10}{x ^{2} - 10 x}

6 x - 5

f (x) = (x - 2)

What is the domain of f(x)=(-x^2)/(5|x|-3x) ?
The domain of f(x)=(-x^2)/(5|x|-3x) is x<0\lor x>0