What is the domain of f(x)=(sqrt(4-x))/x ?

The domain of f(x)=(sqrt(4-x))/x is x<0\lor 0<x<= 4

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domain of f(x)=(sqrt(4-x))/x

domain

f (x) = \frac{4 - x}{x}

x < 0 or 0 < x \leq 4

Interval Notation

Solution steps

Find non-negative values for radicals:

x \leq 4

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or 0 < x \leq 4

\frac{x + 2}{x - 1} + x + 2

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

f (x) = \frac{x ^{2} + 2 x}{x - 7}

\frac{x ^{2} + 3 x}{4 x ^{3} - 11 x ^{2} - 3 x}

f (x) = x ln (x)

What is the domain of f(x)=(sqrt(4-x))/x ?
The domain of f(x)=(sqrt(4-x))/x is x<0\lor 0<x<= 4