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

The domain of f(x)=(3x)/(sqrt(8-x)) is x<8

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

domain

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

x < 8

Interval Notation

(- \infty, 8)

Solution steps

Find non-negative values for radicals:

x \leq 8

Find undefined (singularity) points:

x = 8

Combine real regions and undefined points for final function domain

x < 8

\frac{e ^{2 x} - 1}{1 + e ^{2 x}}

3^{x} - 3

\frac{ln ( x ^{2} - x )}{- x}

f (x) = \frac{x + 5}{( x + 8 ) ( x - 9 )}

tan (2 t)

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