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

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

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

domain

\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

f (x) = \frac{- 6 x + 12}{3 x + 4}

f (x) = x^{4} e^{- x}

\frac{∣ 5 - x ∣}{x ^{2} - 12 x + 35}

\frac{3 x - 1}{2}

f (x) = 19 - 19 x

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