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

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

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

domain

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

- 2 < x < - 1 or x \geq 2

Interval Notation

Solution steps

Find non-negative values for radicals:

- 2 < x < - 1 or x \geq 2

Find undefined (singularity) points:

x = - 1, x = - 2

Combine real regions and undefined points for final function domain

- 2 < x < - 1 or x \geq 2

y = - 8

y = - 9

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

f (x) = \frac{8 x + 9}{7 x - 8}

\frac{4 + x}{1 - x}

What is the domain of f(x)=sqrt((x-2)/(x^2+3x+2)) ?
The domain of f(x)=sqrt((x-2)/(x^2+3x+2)) is -2<x<-1\lor x>= 2