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

The domain of f(x)=(x-2)/(sqrt(x)-\sqrt{2)} is 0 2

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domain of f(x)=(x-2)/(sqrt(x)-\sqrt{2)}

domain

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

0 \leq x < 2 or x > 2

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

0 \leq x < 2 or x > 2

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

f (x) = ln (- 4 + 0)

\frac{2 ^{x} + 5 ^{x}}{5 ^{x} - 2 ^{x}}

e^{6 x}

f (x) = \frac{- 24}{x ^{2} + 8}

What is the domain of f(x)=(x-2)/(sqrt(x)-\sqrt{2)} ?
The domain of f(x)=(x-2)/(sqrt(x)-\sqrt{2)} is 0<= x<2\lor x>2