What is the domain of f(x)=(sqrt(10-x))/(2x) ?

The domain of f(x)=(sqrt(10-x))/(2x) is x<0\lor 0<x<= 10

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domain of f(x)=(sqrt(10-x))/(2x)

domain

f (x) = \frac{10 - x}{2 x}

x < 0 or 0 < x \leq 10

Interval Notation

Solution steps

Find non-negative values for radicals:

x \leq 10

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or 0 < x \leq 10

f (x) = - 3 + \frac{1}{2}

2 3 x - 3

f (x) = x - 3 - x + 4

\frac{5 x - 1}{2 x - 3}

f (x) = ln (6 x - 3)

What is the domain of f(x)=(sqrt(10-x))/(2x) ?
The domain of f(x)=(sqrt(10-x))/(2x) is x<0\lor 0<x<= 10