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

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

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

domain

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

x > 4

Interval Notation

(4, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 4

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

x > 4

- \frac{1}{4} x = - 1, (- 5, - 8)

f (x) = \frac{x ^{2} - 16}{16 x - 32}

f (x) = \frac{3 x ^{2} - 8}{x ^{2} + 5 x + 6}

f (x) = x

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