What is the domain of f(x)= 1/2 x^{-2/3} ?

The domain of f(x)= 1/2 x^{-2/3} is x 0

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domain of f(x)= 1/2 x^{-2/3}

domain

f (x) = \frac{1}{2} x^{- \frac{2}{3}}

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

f (x) = (x - 1)^{2} - 4

f (x) = \frac{x + 1}{x ^{2} - 2 x - 15}

f (x) = \frac{1}{7.4 x - 8.3 x ^{2}}

lo g_{2} (4 x - 6)

f (x) = lo g_{4} (x + 1)

What is the domain of f(x)= 1/2 x^{-2/3} ?
The domain of f(x)= 1/2 x^{-2/3} is x<0\lor x>0