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

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

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

domain

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

x > - 3

Interval Notation

(- 3, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 3

Find undefined (singularity) points:

x = - 3

Combine real regions and undefined points for final function domain

x > - 3

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

6 lo g_{5} (2 x - 6)

y = (x - 5)^{2} - 9

f (x) = - 2 x^{3} + 12 x^{2} + 1

R (x) = 3 + cos (2 x)

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