What is the domain of f(x)=sqrt(x)+x/(x-2)+1 ?

The domain of f(x)=sqrt(x)+x/(x-2)+1 is 0 2

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domain of f(x)=sqrt(x)+x/(x-2)+1

domain

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

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

- 3 x^{2}

f (x) = \frac{7}{2 x - 1}

\frac{4}{1 - x}

3 x + 17

y = g (x) = 5 + 2 e^{x}

What is the domain of f(x)=sqrt(x)+x/(x-2)+1 ?
The domain of f(x)=sqrt(x)+x/(x-2)+1 is 0<= x<2\lor x>2