F(x) : |x| g(x) : -2|x+1|+3
If we were to write f(x) in terms of g(x) Would the answer be -2f(x+1)+6 or -2f(x+1)+3?

-2•f(x+1)+6 = -2 |x+1| +6, which is NOT g(x).

-2•f(x+1)+3 = -2 |x+1| +3, which IS g(x).

Side note: you’re writing g(x) in terms of f(x), because f(x) is in the answer.

If you want to write f(x) in terms of g(x), then g(x) would be in the answer.

The length of what is left would be 1 1/2 feet long.