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

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

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

domain

f (x) = 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 ^{2} - 4}{x ^{2} + x - 12}

sin (x - 4)

f (x) = 7 x^{2} + 1

\frac{2}{3} tan (2 x + π)

\frac{x ^{3} - 6 x ^{2} + 4 x + 8}{x ^{3} - x ^{2} - 9 x + 9}

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