What is the domain of f(x)= 4/(sqrt(x-5)) ?

The domain of f(x)= 4/(sqrt(x-5)) is x>5

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domain of f(x)= 4/(sqrt(x-5))

domain

f (x) = \frac{4}{x - 5}

x > 5

Interval Notation

(5, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

x > 5

f (x) = 6 (3^{2 x - 8}) + 5

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

f (x) = \frac{1}{1 - lo g _{2} ( x - 1 )}

- 4 x + 7

What is the domain of f(x)= 4/(sqrt(x-5)) ?
The domain of f(x)= 4/(sqrt(x-5)) is x>5