What is the domain of f(x)=\sqrt[4]{x-2} ?

The domain of f(x)=\sqrt[4]{x-2} is x>= 2

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domain of f(x)=\sqrt[4]{x-2}

domain

f (x) = 4 x - 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

r an g e f (x) = - x - 2

s l o p e in t erce pt 2 - 1

in v erse f (x) = \frac{4}{x}

r an g e \frac{6 X}{X - 3}

d o main f (x) = \frac{3}{x} - 2

What is the domain of f(x)=\sqrt[4]{x-2} ?
The domain of f(x)=\sqrt[4]{x-2} is x>= 2