What is the domain of ln(x+sqrt(1+x^2)) ?

The domain of ln(x+sqrt(1+x^2)) is -infinity <x<infinity

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domain of ln(x+sqrt(1+x^2))

domain

ln (x + 1 + x^{2})

- \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

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

x^{2} - 2 x + 4

\frac{x ^{2} - 9}{3 x - 6}

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

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