Question

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

Answer 1

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