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

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

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

domain

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

x \geq 0

Interval Notation

[0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = - 1

Combine real regions and undefined points for final function domain

x \geq 0

f (x) = ln (\frac{x}{x - 1})

16 - x^{4}

cos (2 x + 5)

(6, 5), (1, - 5)

\frac{9 x}{x ^{2} + 5}

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