What is the domain of (sqrt(x+1))/(sqrt(2-x)) ?

The domain of (sqrt(x+1))/(sqrt(2-x)) is -1<= x<2

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domain of (sqrt(x+1))/(sqrt(2-x))

domain

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

- 1 \leq x < 2

Interval Notation

Solution steps

Find non-negative values for radicals:

- 1 \leq x \leq 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

- 1 \leq x < 2

f (x) = lo g_{x} (x - 2)

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

f (x) = 3 x - 1 + 2 x - 4

f (x) = 3^{2 - x} + 1

f (x) = \frac{x - 5}{x ^{2} + 1}

What is the domain of (sqrt(x+1))/(sqrt(2-x)) ?
The domain of (sqrt(x+1))/(sqrt(2-x)) is -1<= x<2