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

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

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

domain

\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

f (x) = \frac{6 x - 2}{8 x + 8}

4 - 3 - x

\frac{x - 4}{5}

\frac{1 + 1 - 4 x ^{2}}{2 x}

f (x) = 2^{x - 2}

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