What is the domain of f(x)= 1/x+2ln(x+3) ?

The domain of f(x)= 1/x+2ln(x+3) is -3 0

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domain of f(x)= 1/x+2ln(x+3)

domain

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

- 3 < x < 0 or x > 0

Interval Notation

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

Solution steps

Find positive values for logs:

x > - 3

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

- 3 < x < 0 or x > 0

f (x) = \frac{x}{5 + x ^{2}}

9 x + 4 y = - 3

\frac{x}{x ^{2} - 4}

f (x) = 6 tan (0.2 x)

\frac{3 x}{7 x - 1}

What is the domain of f(x)= 1/x+2ln(x+3) ?
The domain of f(x)= 1/x+2ln(x+3) is -3<x<0\lor x>0