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

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

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

domain

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

x \geq 4

Interval Notation

[4, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 4

The function domain

x \geq 4

f (x) = \frac{5}{x + 6}

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

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

(- 3, 1), (- 3, 5)

f (x) = - x^{3} + 12 x - 10

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