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

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