What is the domain of sqrt(x^4-256) ?

The domain of sqrt(x^4-256) is x = 4

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domain of sqrt(x^4-256)

domain

x^{4} - 256

x \leq - 4 or x \geq 4

Interval Notation

(- \infty, - 4] \cup [4, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 4 or x \geq 4

The function domain

x \leq - 4 or x \geq 4

f (x) = \frac{lo g _{10} ( x )}{1 - x}

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

f (x) = 2 x^{2} + 5

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

y = - 4

What is the domain of sqrt(x^4-256) ?
The domain of sqrt(x^4-256) is x<=-4\lor x>= 4