What is the domain of f(x)=(2x)/(sqrt(x-5)) ?

The domain of f(x)=(2x)/(sqrt(x-5)) is x>5

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domain of f(x)=(2x)/(sqrt(x-5))

domain

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

x > 5

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) = x^{3} + x

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

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

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

f (x) = x^{2} - 8 x + 9

What is the domain of f(x)=(2x)/(sqrt(x-5)) ?
The domain of f(x)=(2x)/(sqrt(x-5)) is x>5