What is the domain of f(x)=(2x+4)/(sqrt(24-8x)) ?

The domain of f(x)=(2x+4)/(sqrt(24-8x)) is x<3

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domain of f(x)=(2x+4)/(sqrt(24-8x))

domain

f (x) = \frac{2 x + 4}{24 - 8 x}

x < 3

Interval Notation

(- \infty, 3)

Solution steps

Find non-negative values for radicals:

x \leq 3

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x < 3

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

\frac{x ^{2} - 4}{9 x + 4}

\frac{2 x - 6}{x ^{2} + 2 x - 15}

f (x) = \frac{1}{x ^{2} - x - 12}

f (x) = (\frac{x + 3}{x - 1})

What is the domain of f(x)=(2x+4)/(sqrt(24-8x)) ?
The domain of f(x)=(2x+4)/(sqrt(24-8x)) is x<3