What is the domain of f(x)=(2x-8)/(sqrt(3x-24)) ?

The domain of f(x)=(2x-8)/(sqrt(3x-24)) is x>8

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domain of f(x)=(2x-8)/(sqrt(3x-24))

domain

f (x) = \frac{2 x - 8}{3 x - 24}

x > 8

Interval Notation

(8, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 8

Find undefined (singularity) points:

x = 8

Combine real regions and undefined points for final function domain

x > 8

sin (t)

\frac{1}{x ^{2} + 10}

(2) (3)

f (x) = 9

f (x) = \frac{( x ^{2} - 1 )}{( 4 x + 2 )}

What is the domain of f(x)=(2x-8)/(sqrt(3x-24)) ?
The domain of f(x)=(2x-8)/(sqrt(3x-24)) is x>8