What is the domain of (x+5)/(sqrt(1-\sqrt{x-2))} ?

The domain of (x+5)/(sqrt(1-\sqrt{x-2))} is 2<= x<3

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domain of (x+5)/(sqrt(1-\sqrt{x-2))}

domain

\frac{x + 5}{1 - x - 2}

2 \leq x < 3

Interval Notation

[2, 3)

Solution steps

Find non-negative values for radicals:

2 \leq x \leq 3

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

2 \leq x < 3

y = ln (x - 2)

1 - 4 x^{2}

y = \frac{1}{x ^{2} - 4}

f (x) = 10 - 3 x

f (x) = - 6 - 2 x

What is the domain of (x+5)/(sqrt(1-\sqrt{x-2))} ?
The domain of (x+5)/(sqrt(1-\sqrt{x-2))} is 2<= x<3