Question

What is the range of the function f(x)=3 - ln(x+2) #?

Answer 1

`y \in RR`

Explanation:

The range of `f(x) = ln(x)` is `y \in RR`.

The transformations done to get `3-ln(x+2)` are to shift the graph 2 units left, 3 units up, and then reflect it over the `x`-axis. Of those, both the shift up and the reflection could change the range, but not if the range is already all real numbers, so the range is still `y \in RR`.