What is the domain of sqrt(4-x^2)+(x+2)/(sqrt(11-x)) ?

The domain of sqrt(4-x^2)+(x+2)/(sqrt(11-x)) is -2<= x<= 2

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domain of sqrt(4-x^2)+(x+2)/(sqrt(11-x))

domain

4 - x^{2} + \frac{x + 2}{11 - x}

- 2 \leq x \leq 2

Interval Notation

[- 2, 2]

Solution steps

Find non-negative values for radicals:

- 2 \leq x \leq 2

Find undefined (singularity) points:

x = 11

Combine real regions and undefined points for final function domain

- 2 \leq x \leq 2

f (x) = e^{s i n (\frac{π}{x})}

y = \frac{x ^{2} - 1}{x ^{3} + x}

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

\frac{x ^{2}}{x - 9}

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

What is the domain of sqrt(4-x^2)+(x+2)/(sqrt(11-x)) ?
The domain of sqrt(4-x^2)+(x+2)/(sqrt(11-x)) is -2<= x<= 2