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

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

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

domain

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

x \leq - 3 or x > - 2

Interval Notation

(- \infty, - 3] \cup (- 2, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 3 or x > - 2

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

x \leq - 3 or x > - 2

\frac{- 11 x + 1}{- 30 x ^{2} - 25 x + 5}

f (x) = 1 + \frac{6}{x}

6 x - 9

f (x) = \frac{2 x + 3}{x [ x + 4 ] - x}

lo g_{6} (\frac{x - 8}{x})

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\lor x>-2