What is the domain of f(x)=sqrt(x-2)*1/(x+2) ?

The domain of f(x)=sqrt(x-2)*1/(x+2) is x>= 2

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domain of f(x)=sqrt(x-2)*1/(x+2)

domain

f (x) = x - 2 \cdot \frac{1}{x + 2}

x \geq 2

Interval Notation

[2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 2

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

x \geq 2

(- 2, 4), (- 2, - 4)

f (x) = \frac{x ^{2} - 3 x + 8}{x - 2}

f (x) = 12 - 6 e^{- x}

f (x) = - \frac{1}{2} tan (2 π x)

f (x) = x^{3} - 4 x^{2} - 3 x + 2

What is the domain of f(x)=sqrt(x-2)*1/(x+2) ?
The domain of f(x)=sqrt(x-2)*1/(x+2) is x>= 2