What is the domain of f(x)=((|x+5|-2))/(sqrt(x-3)) ?

The domain of f(x)=((|x+5|-2))/(sqrt(x-3)) is x>3

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domain of f(x)=((|x+5|-2))/(sqrt(x-3))

domain

f (x) = \frac{( ∣ x + 5 ∣ - 2 )}{x - 3}

x > 3

Interval Notation

(3, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 3

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x > 3

x + 4 - x - 9

f (x) = 5 + x

f (x) = \frac{- 2}{x ^{2} + 2 x - 35}

f (x) = \frac{ln ( x - 1 )}{x ^{3} - 2 x}

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

What is the domain of f(x)=((|x+5|-2))/(sqrt(x-3)) ?
The domain of f(x)=((|x+5|-2))/(sqrt(x-3)) is x>3