What is the domain of f(x)=sqrt(x+3)-sqrt((1-x)/x) ?

The domain of f(x)=sqrt(x+3)-sqrt((1-x)/x) is 0<x<= 1

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domain of f(x)=sqrt(x+3)-sqrt((1-x)/x)

domain

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

0 < x \leq 1

Interval Notation

(0, 1]

Solution steps

Find non-negative values for radicals:

0 < x \leq 1

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

0 < x \leq 1

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

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 )}

What is the domain of f(x)=sqrt(x+3)-sqrt((1-x)/x) ?
The domain of f(x)=sqrt(x+3)-sqrt((1-x)/x) is 0<x<= 1