What is the domain of f(x)=(sqrt(5-2x))/(-7x) ?

The domain of f(x)=(sqrt(5-2x))/(-7x) is x<0\lor 0<x<= 5/2

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domain of f(x)=(sqrt(5-2x))/(-7x)

domain

f (x) = \frac{5 - 2 x}{- 7 x}

x < 0 or 0 < x \leq \frac{5}{2}

Interval Notation

Solution steps

Find non-negative values for radicals:

x \leq \frac{5}{2}

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or 0 < x \leq \frac{5}{2}

f (x) = 6 x + 12

f (x) = x - 5 + 3

f (x) = \frac{2 x - 6}{5}

f (x) = \frac{( x ^{2} + 16 )}{( x ^{2} - 9 )}

f (x) = \frac{5 - x}{- 4 x + 8}

What is the domain of f(x)=(sqrt(5-2x))/(-7x) ?
The domain of f(x)=(sqrt(5-2x))/(-7x) is x<0\lor 0<x<= 5/2