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

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

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

domain

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

- \infty < x < \infty

Solution steps

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

- \infty < x < \infty

f (x) = \frac{- 4 x - 6}{3 x - 2}

f (x) = 3 x^{2} - 10

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

f (x) = \frac{x + 5}{x - 2}

9 (x - 3)^{\frac{2}{3}}

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