What is the domain of f(x)=ln(e^x+3) ?

The domain of f(x)=ln(e^x+3) is -infinity <x<infinity

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domain of f(x)=ln(e^x+3)

domain

f (x) = ln (e^{x} + 3)

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

Find positive values for logs:

- \infty < x < \infty

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

\frac{2 x - 4}{14 x ^{2} - 3 x - 5}

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

g (x) = x + 2

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

f (x) = \frac{x ^{2} - 3 x - 4}{- x + 5}

What is the domain of f(x)=ln(e^x+3) ?
The domain of f(x)=ln(e^x+3) is -infinity <x<infinity