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

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

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

domain

\frac{5 x}{14 - x}

x < 14 or x > 14

Interval Notation

(- \infty, 14) \cup (14, \infty)

Solution steps

Find undefined (singularity) points:

x = 14

The function domain

x < 14 or x > 14

f (x) = 3 sin (4 x - π)

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

\frac{1}{x ^{4}}

f (x) = - 20 - 5 x

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

What is the domain of (5x)/(sqrt(14)-x) ?
The domain of (5x)/(sqrt(14)-x) is x<sqrt(14)\lor x>sqrt(14)