What is the domain of f(x)=(3x)/(sqrt(x-6)) ?

The domain of f(x)=(3x)/(sqrt(x-6)) is x>6

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domain of f(x)=(3x)/(sqrt(x-6))

domain

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

3 - 2 x + 1

f (x) = 4 - 24 - 2 x - x^{2}

2 - 4 x

f (x) = \frac{x + 2}{x ^{2} + 4}

f (x) = \frac{1}{2 x + 7}

What is the domain of f(x)=(3x)/(sqrt(x-6)) ?
The domain of f(x)=(3x)/(sqrt(x-6)) is x>6