What is the domain of f(x)= 3/(sqrt(x-8)) ?

The domain of f(x)= 3/(sqrt(x-8)) is x>8

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domain of f(x)= 3/(sqrt(x-8))

domain

f (x) = \frac{3}{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

4 x^{2}

5 sin (2 x)

y = sec (x + 1)

- \frac{2}{5} x^{3}

(52, 73), (2, - 3)

What is the domain of f(x)= 3/(sqrt(x-8)) ?
The domain of f(x)= 3/(sqrt(x-8)) is x>8