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

The domain of (sqrt(x-2))/(sqrt(5-x)) is 2<= x<5

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domain of (sqrt(x-2))/(sqrt(5-x))

domain

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

2 \leq x < 5

Interval Notation

[2, 5)

Solution steps

Find non-negative values for radicals:

2 \leq x \leq 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

2 \leq x < 5

f (x) = \frac{( x + ∣ x ∣ )}{x}

\frac{4 x - ln ( 3 x )}{x}

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

f (x) = 3 + x + 3 - x

f (x) = cos (cos (x))

What is the domain of (sqrt(x-2))/(sqrt(5-x)) ?
The domain of (sqrt(x-2))/(sqrt(5-x)) is 2<= x<5