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

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

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

domain

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

x > 3

Interval Notation

(3, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 3

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x > 3

f (x) = (x^{2} + a)

f (x) = \frac{x + 4}{- x - 3}

y = 3 x^{2} - 2

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

f (x) = (2 x - 8)^{\frac{2}{3}}

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