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

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

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

domain

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

x \geq 3

Interval Notation

[3, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 3

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

x \geq 3

f (x) = 9 x + 27

\frac{x ^{2} + 3 x}{x ( x + 4 )}

sin (4 x)

f (x) = 1 - 1 - x

\frac{1}{3} x^{3} + 2 x^{2} - 1

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