What is the domain of f(x)= 1/(sqrt(x-8)) ?

The domain of f(x)= 1/(sqrt(x-8)) is x>8

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domain of f(x)= 1/(sqrt(x-8))

domain

f (x) = \frac{1}{x - 8}

x > 8

Interval Notation

(8, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 8

Find undefined (singularity) points:

x = 8

Combine real regions and undefined points for final function domain

x > 8

\frac{1}{x ^{2} - 3 x - 4}

f (x) = z + 10 - z

f (x) = x^{2} + y^{2} = 25

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

f (x) = 3^{x} + 3

What is the domain of f(x)= 1/(sqrt(x-8)) ?
The domain of f(x)= 1/(sqrt(x-8)) is x>8