What is the domain of f(x)=sqrt((3-x)/(x+2)) ?

The domain of f(x)=sqrt((3-x)/(x+2)) is -2<x<= 3

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domain of f(x)=sqrt((3-x)/(x+2))

domain

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

- 2 < x \leq 3

Interval Notation

(- 2, 3]

Solution steps

Find non-negative values for radicals:

- 2 < x \leq 3

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

- 2 < x \leq 3

x^{3}

f (x) = \frac{1}{2} x - 1.5

f (x) = x^{4} - 3 x^{3} - 3 x^{2} + 1

f (x) = 3 x^{5} - 5 x^{4}

What is the domain of f(x)=sqrt((3-x)/(x+2)) ?
The domain of f(x)=sqrt((3-x)/(x+2)) is -2<x<= 3