What is the domain of f(x)= 1/(sqrt(x-10)) ?

The domain of f(x)= 1/(sqrt(x-10)) is x>10

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domain of f(x)= 1/(sqrt(x-10))

domain

f (x) = \frac{1}{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) = - 9 x^{2} - 6 x - 1

f (x) = ln (x^{2} - 4 x + 5)

f (x) = x^{2} - 4 x + 5

f (x) = \frac{- 3 x ^{2} - 12 x}{5 x ^{2}}

(1, 4), (0, - 2)

What is the domain of f(x)= 1/(sqrt(x-10)) ?
The domain of f(x)= 1/(sqrt(x-10)) is x>10