What is the domain of f(x)=(2x-6)/(sqrt(x)) ?

The domain of f(x)=(2x-6)/(sqrt(x)) is x>0

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domain of f(x)=(2x-6)/(sqrt(x))

domain

f (x) = \frac{2 x - 6}{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) = x - 1

f (x) = \frac{1}{x + 7}

f (x) = (4 - 7 x)^{\frac{7}{2}}

3 x - 7 y = 14

f (x) = \frac{2 x - 6}{x + 4}

What is the domain of f(x)=(2x-6)/(sqrt(x)) ?
The domain of f(x)=(2x-6)/(sqrt(x)) is x>0