Range of a function :( please help!?

Question

what is the range of f(x)=3 - ln(x+2) ?

i dont understand it :[[

i am so sad because my calculus book doesnt explain anything.

and i forgot about domain and range bc its something i did in algebra2 (2 years ago) and in the beginning of the year in precalc...

i need help! please explain

Answer 1

if you write ln a ,  the term a must be a positive number

so x+2>0

and x>-2

range ]-2 +infinite]

Answer 2

First, find the domain. Those are the values the independent variable may assume. In this case, x > -2 since ln(0) is -INFINITY.

Now, 3 - -INFINITY is positive INFINITY.

Looking from the other end of things, as x becomes bigger and bigger ln(x+2) begins to get bigger until it eventually reaches INFINITY, but 3 - INFINITY is -INFINITY.

So, the range is (+INFINITY, -INFINITY)

Answer 3

first you kiss then i will answer

there is method to find range is  =max(f(x))-min_f(x_)

use any internet reference