What is the domain of f(x)= x/(sqrt(x-10)) ?

The domain of f(x)= x/(sqrt(x-10)) is x>10

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domain of f(x)= x/(sqrt(x-10))

domain

f (x) = \frac{x}{x - 10}

x > 10

Interval Notation

(10, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 10

Find undefined (singularity) points:

x = 10

Combine real regions and undefined points for final function domain

x > 10

f (x) = \frac{x + 3}{2}

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

\frac{x + 5}{4}

\frac{- 4 - 7 x}{3 x - 1}

f (x) = 5 x^{2} (3^{x})

What is the domain of f(x)= x/(sqrt(x-10)) ?
The domain of f(x)= x/(sqrt(x-10)) is x>10