What is the domain of (sqrt(36-x^2))/(sqrt(x+2)) ?

The domain of (sqrt(36-x^2))/(sqrt(x+2)) is -2<x<= 6

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domain of (sqrt(36-x^2))/(sqrt(x+2))

domain

\frac{36 - x ^{2}}{x + 2}

- 2 < x \leq 6

Interval Notation

(- 2, 6]

Solution steps

Find non-negative values for radicals:

- 2 \leq x \leq 6

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

- 2 < x \leq 6

f (x) = 3 x - 4

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

\frac{7}{x}

(0, 2), (1, 1)

f (x) = sin (π x)

What is the domain of (sqrt(36-x^2))/(sqrt(x+2)) ?
The domain of (sqrt(36-x^2))/(sqrt(x+2)) is -2<x<= 6