What is the domain of ln(x+2)-1/(sqrt(3-x)) ?

The domain of ln(x+2)-1/(sqrt(3-x)) is -2<x<3

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domain of ln(x+2)-1/(sqrt(3-x))

domain

ln (x + 2) - \frac{1}{3 - x}

- 2 < x < 3

Interval Notation

(- 2, 3)

Solution steps

Find non-negative values for radicals:

x \leq 3

Find positive values for logs:

x > - 2

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

- 2 < x < 3

y = 3 (5^{x}) + 2

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

y = cot (θ)

f (x) = \frac{x}{4} - \frac{1}{x - 3}

f (x) = 10 - 3 x - x^{2}

What is the domain of ln(x+2)-1/(sqrt(3-x)) ?
The domain of ln(x+2)-1/(sqrt(3-x)) is -2<x<3