What is the domain of f(x)=(x^2-16)^{1/2} ?

The domain of f(x)=(x^2-16)^{1/2} is x = 4

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domain of f(x)=(x^2-16)^{1/2}

domain

f (x) = (x^{2} - 16)^{\frac{1}{2}}

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

What is the domain of f(x)=(x^2-16)^{1/2} ?
The domain of f(x)=(x^2-16)^{1/2} is x<=-4\lor x>= 4