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

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

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

domain

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

- 2 < x < 3 or x > 3

Interval Notation

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

Solution steps

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 or x > 3

\frac{3 x}{x - 8}

f (x) = 4^{x} + 1

y = \frac{x ^{3}}{x ^{4} - 1}

f (x) = 6 x

y = x - 2

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