The forum discussion centers on the incorrect solutions provided for composite functions in a homework assignment. The user attempted to find formulas for (f g)(x), (f f)(x), g(h(x)), and (h g)(x) but only rewrote the compositions without deriving the correct expressions. The key takeaway is that the user must identify the specific functions f, g, and h to accurately compute the compositions rather than merely reformulating them.
PREREQUISITESStudents studying mathematics, particularly those focusing on algebra and calculus, as well as educators looking to clarify concepts of function composition.
All you have done is to rewrite each composition in a different form. I suspect that there are formulas for f, g, and h that you have overlooked.Niaboc67 said:Homework Statement
1. Find a formula for
(fg)(x) = ?
2. Find a formula for
(ff )(x) = ?
3. Find a formula for the composition below.
g(h(x)) =4. Find a formula for the composition below.
(hg)(x) =
The Attempt at a Solution
1. f(g(x))
2. f(f(x))
3. (g º h)(x)
4. h(g(x))
Why are these incorrect?