What is the domain of f(x)=(x-4)/(sqrt(x)) ?

The domain of f(x)=(x-4)/(sqrt(x)) is x>0

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domain of f(x)=(x-4)/(sqrt(x))

domain

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

x > 0

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{x ^{2}}{1 + x ^{2}}

y = - 3 x^{2} - 2 x + 5

(1, - 4), (- 2, 5)

\frac{x + 5}{x ^{2} + x - 6}

y = lo g_{\frac{1}{5}} (x)

What is the domain of f(x)=(x-4)/(sqrt(x)) ?
The domain of f(x)=(x-4)/(sqrt(x)) is x>0