What is the domain of f(x)=(sqrt(4x-8))/(sqrt(x+3)) ?

The domain of f(x)=(sqrt(4x-8))/(sqrt(x+3)) is x>= 2

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domain of f(x)=(sqrt(4x-8))/(sqrt(x+3))

domain

x \geq 2

Interval Notation

[2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 2

Find undefined (singularity) points:

x = - 3

Combine real regions and undefined points for final function domain

x \geq 2

What is the domain of f(x)=(sqrt(4x-8))/(sqrt(x+3)) ?
The domain of f(x)=(sqrt(4x-8))/(sqrt(x+3)) is x>= 2