What is the domain of f(x)= 2/(sqrt(x-6)) ?

The domain of f(x)= 2/(sqrt(x-6)) is x>6

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domain of f(x)= 2/(sqrt(x-6))

domain

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

x > 6

Interval Notation

(6, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 6

Find undefined (singularity) points:

x = 6

Combine real regions and undefined points for final function domain

x > 6

f (x) = 4 x^{3} - 54 x^{2} + 180

(1.6) (- 2.8)

f (x) = \frac{x + 1}{x + 5}

f (x) = x - 3 x^{\frac{1}{3}}

f (x) = \frac{ln ( x )}{x ^{3}}

What is the domain of f(x)= 2/(sqrt(x-6)) ?
The domain of f(x)= 2/(sqrt(x-6)) is x>6