What is the domain of (sqrt(4-x^2))/(sqrt(x+1)) ?

The domain of (sqrt(4-x^2))/(sqrt(x+1)) is -1<x<= 2

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domain of (sqrt(4-x^2))/(sqrt(x+1))

domain

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

- 1 < x \leq 2

Interval Notation

(- 1, 2]

Solution steps

Find non-negative values for radicals:

- 1 \leq x \leq 2

Find undefined (singularity) points:

x = - 1

Combine real regions and undefined points for final function domain

- 1 < x \leq 2

f (x) = 8 x

f (x) = \frac{x ^{2} - x - 12}{x}

y = \frac{1}{5} x + 3

x^{2} + x - 6

f (x) = \frac{3 x - 4}{x ^{2} + 4 x - 77}

What is the domain of (sqrt(4-x^2))/(sqrt(x+1)) ?
The domain of (sqrt(4-x^2))/(sqrt(x+1)) is -1<x<= 2