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

1 Answer
Dec 27, 2017

Answer:

#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#.