What is the domain of (sqrt(2+x))/(3-x) ?

The domain of (sqrt(2+x))/(3-x) is -2 3

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domain of (sqrt(2+x))/(3-x)

domain

\frac{2 + x}{3 - x}

- 2 \leq x < 3 or x > 3

Interval Notation

[- 2, 3) \cup (3, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 2

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

- 2 \leq x < 3 or x > 3

3 e^{x^{2}}

f (x) = cos (x - \frac{π}{3})

f (x) = ∣ x + 2 ∣

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

(- 4.6) (3.7)

What is the domain of (sqrt(2+x))/(3-x) ?
The domain of (sqrt(2+x))/(3-x) is -2<= x<3\lor x>3