What is the domain of f(x)=(ln(2+x))/x ?

The domain of f(x)=(ln(2+x))/x is -2 0

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domain of f(x)=(ln(2+x))/x

domain

f (x) = \frac{ln ( 2 + x )}{x}

- 2 < x < 0 or x > 0

Interval Notation

(- 2, 0) \cup (0, \infty)

Solution steps

Find positive values for logs:

x > - 2

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

- 2 < x < 0 or x > 0

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

- 3 x - 5

y = - 3 \cdot 2^{x - 5} + 5

- 3 x^{2} - 12 x - 9

4 + ln (x)

What is the domain of f(x)=(ln(2+x))/x ?
The domain of f(x)=(ln(2+x))/x is -2<x<0\lor x>0