What is the domain of f(x)=sqrt(x)-sqrt(x-2) ?

The domain of f(x)=sqrt(x)-sqrt(x-2) is x>= 2

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domain of f(x)=sqrt(x)-sqrt(x-2)

domain

f (x) = x - 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

y - 11 = 0

f (x) = \frac{( x + 2 )}{( x + 5 )}

y = \frac{1}{x}

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

y = \frac{5 x ^{2} - 3}{x + 2}

What is the domain of f(x)=sqrt(x)-sqrt(x-2) ?
The domain of f(x)=sqrt(x)-sqrt(x-2) is x>= 2