What is the domain of f(x)=(5x)/(sqrt(14-x)) ?

The domain of f(x)=(5x)/(sqrt(14-x)) is x<14

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domain of f(x)=(5x)/(sqrt(14-x))

domain

f (x) = \frac{5 x}{14 - x}

x < 14

Interval Notation

(- \infty, 14)

Solution steps

Find non-negative values for radicals:

x \leq 14

Find undefined (singularity) points:

x = 14

Combine real regions and undefined points for final function domain

x < 14

4 x + 2

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

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

5 - 2 x

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

What is the domain of f(x)=(5x)/(sqrt(14-x)) ?
The domain of f(x)=(5x)/(sqrt(14-x)) is x<14