What is the domain of f(x)=(3x)/(sqrt(x-7)) ?

The domain of f(x)=(3x)/(sqrt(x-7)) is x>7

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domain of f(x)=(3x)/(sqrt(x-7))

domain

f (x) = \frac{3 x}{x - 7}

x > 7

Interval Notation

(7, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 7

Find undefined (singularity) points:

x = 7

Combine real regions and undefined points for final function domain

x > 7

x + 9 - 7

f (x) = \frac{5 x - 14}{x - 3}

15 - x + 2

f (x) = 7 + 3 x - 6

f (x) = ln (\frac{x}{x - 1})

What is the domain of f(x)=(3x)/(sqrt(x-7)) ?
The domain of f(x)=(3x)/(sqrt(x-7)) is x>7