Today in class (9/26) we continued to elaborate on composite functions.
We discussed the composite function we were using the previous day in class, f(g(x)), in which g(x)=10-2x with the domain of `1<= x<=4`, and f(x)=x+2 with the domain of `3<=x<=7`. As Allison and Kevin explained, we determined that to get an output for the function f(g(x));
-The value of g(x) must in the domain of f(x), and
-The value of x must be in the domain of g(x).
We then better explained these statements by recognizing g(x) as the inside function and f(x) as the outside function, and rephrasing the statements as;
-The outputs of the inside function must be in the domain of the outside function, and
- X must be in the domain of the inside function.
After this discussion, the class then worked on the problems for 1-4, with #3 and #5 being claimable.
Lauren will post the next blog entry.