How do you find the range of #f(x)=3 - ln(x+2)#?

1 Answer
Apr 18, 2015

y #in#R

To find the range of this function, begin with identifying the domain which is obviously all real numbers x, such that x+2 >0

Next solve it for x by writing y= 3- ln(x+2), or ln(x+2)= 3-y or x+2= #e^(3-y)#. Since x+2 has to be >0, this condition would hold good for all real values of y. Hence the Range of the given would be y #in# R