What is the domain of f(x)= x/(sqrt(x-5)) ?

The domain of f(x)= x/(sqrt(x-5)) is x>5

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domain of f(x)= x/(sqrt(x-5))

domain

f (x) = \frac{x}{x - 5}

x > 5

Interval Notation

(5, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

x > 5

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

2 x

∣ x - 1 ∣

f (x) = - x + 3 - 1

(- 3, - 6), (9, 3)

What is the domain of f(x)= x/(sqrt(x-5)) ?
The domain of f(x)= x/(sqrt(x-5)) is x>5