What is the domain of f(x)= 1/(sqrt(x-3)) ?

The domain of f(x)= 1/(sqrt(x-3)) is x>3

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domain of f(x)= 1/(sqrt(x-3))

domain

f (x) = \frac{1}{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

y = \frac{2}{3} x

13 x^{3} + 2 x^{2} - 12 x - 15

(x - 5)^{2} - 4

f (x) = \frac{3}{x ^{2} - 4}

f (x) = x^{4} + x^{2}

What is the domain of f(x)= 1/(sqrt(x-3)) ?
The domain of f(x)= 1/(sqrt(x-3)) is x>3