What is the domain of f(x)=(x^2-6x)^{1/4} ?

The domain of f(x)=(x^2-6x)^{1/4} is x = 6

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domain of f(x)=(x^2-6x)^{1/4}

domain

f (x) = (x^{2} - 6 x)^{\frac{1}{4}}

x \leq 0 or x \geq 6

Interval Notation

(- \infty, 0] \cup [6, \infty)

Solution steps

Find non-negative values for radicals:

x \leq 0 or x \geq 6

The function domain

x \leq 0 or x \geq 6

\frac{x ^{3} - x ^{2} - 2 x}{- 3 x ^{2} + 27}

(2, 1), (5, 7)

m = \infty, (3, 2)

f (x) = \frac{4}{5} x - 4

y = 2 x - 3 (- 6.5)

What is the domain of f(x)=(x^2-6x)^{1/4} ?
The domain of f(x)=(x^2-6x)^{1/4} is x<= 0\lor x>= 6