What is the domain of f(x)=ln(2+sqrt(3+x^2)) ?

The domain of f(x)=ln(2+sqrt(3+x^2)) is -infinity <x<infinity

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domain of f(x)=ln(2+sqrt(3+x^2))

domain

f (x) = ln (2 + 3 + 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

What is the domain of f(x)=ln(2+sqrt(3+x^2)) ?
The domain of f(x)=ln(2+sqrt(3+x^2)) is -infinity <x<infinity