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

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

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

domain

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

x \geq 2

Interval Notation

[2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 2

The function domain

x \geq 2

f (x) = - \frac{3}{4} x^{4} - x^{3} + 3 x^{2}

f (x) = x + 4

f (x) = 3 + x - 6

(28, 48), (50, 42)

f (x) = 6 x + 30

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