What is the domain of f(x)=4x^{1/3}-x^{4/3} ?

The domain of f(x)=4x^{1/3}-x^{4/3} is -infinity <x<infinity

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domain of f(x)=4x^{1/3}-x^{4/3}

domain

f (x) = 4 x^{\frac{1}{3}} - x^{\frac{4}{3}}

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

g (x) = 2^{x} - 4

\frac{x ^{2} - 3 x - 4}{2 x ^{2} + 4 x}

\frac{1}{3 x + 2} + 1

f (x) = - 2 - x + 5

f (x) = - 1 + lo g_{2} (x + 3)

What is the domain of f(x)=4x^{1/3}-x^{4/3} ?
The domain of f(x)=4x^{1/3}-x^{4/3} is -infinity <x<infinity