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

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

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

domain

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

x \geq 3

Interval Notation

[3, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 3

The function domain

x \geq 3

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

f (x) = - ∣ x ∣ + 1

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

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

f (x) = - lo g_{10} (x)

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