What is the domain of f(x)=(3x-9)/(sqrt(x-4)) ?

The domain of f(x)=(3x-9)/(sqrt(x-4)) is x>4

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domain of f(x)=(3x-9)/(sqrt(x-4))

domain

f (x) = \frac{3 x - 9}{x - 4}

x > 4

Interval Notation

(4, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 4

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

x > 4

f (x) = \frac{2 x + 3}{5 x + 4}

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

\frac{3}{4}

f (x) = ln (3 - 2 x)

f (x) = 6 ln (x)

What is the domain of f(x)=(3x-9)/(sqrt(x-4)) ?
The domain of f(x)=(3x-9)/(sqrt(x-4)) is x>4