SOLUTION: if the domain of f is [0,11] and the domain of g is [3,13] what is the domain of f+g? I am confused on combining these.

Algebra ->  Functions -> SOLUTION: if the domain of f is [0,11] and the domain of g is [3,13] what is the domain of f+g? I am confused on combining these.      Log On


   

Question 706627: if the domain of f is [0,11] and the domain of g is [3,13] what is the domain of f+g? I am confused on combining these.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The smallest number that is in BOTH intervals is the number 3. So the domain of f+g will start with the number 3.

The largest number that is in BOTH intervals is 11, so the interval of the domain of f+g ends with 11.

Therefore,

Domain of f+g: [3, 11]