What is the domain of f(x)=(x+3)/(sqrt(x)) ?

The domain of f(x)=(x+3)/(sqrt(x)) is x>0

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domain of f(x)=(x+3)/(sqrt(x))

domain

f (x) = \frac{x + 3}{x}

x > 0

Interval Notation

(0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x > 0

f (x) = \frac{12 x ^{2} + 3}{3 x ^{2} - 2 x + 1}

f (x) = 3 x^{2} + 4 x + 1

f (x) = - 3 x - 3

\frac{x + 2}{x ^{2} - 3 x - 10}

y = - 3 x^{2} + 9 x

What is the domain of f(x)=(x+3)/(sqrt(x)) ?
The domain of f(x)=(x+3)/(sqrt(x)) is x>0