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

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

x + 2 y - 4 = 0

f (x) = \frac{5}{x - 7}

f (x) = (x + 5)^{2}

f (x) = \frac{1}{81 - x ^{2}}

2 + lo g_{3} (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