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

1 Answer
bp
Apr 18, 2015

y ∈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= e3−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 ∈ R

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