Question

What is the range of ln(2 +ln x)? is it (-infinity, +infinity)?

Answer 1

@freckles @Loser66

Answer 2

Yes, that can be true

Answer 3

Right!

Answer 4

when ln(x) approaches -2 ("from the right" - saying that it is some number that is greater that -2, but tends towards -2), THEN, ln(2+lnx) approaches zero and f(x) tends to -∞.

Answer 5

and obviously, x \(\to\) ∞, y \(\to\) ∞.

Answer 6

So the range is: *(-∞,+∞)*
And the domain, as I showed is: *(-2,+∞)*