The process of function composition in mathematics involves utilizing the result of one function as the input for another function. Notationally, it is expressed as (g∘f)(x)=g(f(x)), which implies that the function g is composed with f. In other words, it's the act of applying one function to the outcome of a different function.
| Topic | Problem | Solution |
|---|---|---|
| None | Let \( f(x) = 3x + 2 \) and \( g(x) = x^2 - 5 \).… | First, find \( f(g(x)) \). Substituting \( g(x) \) into \( f(x) \), we get \( f(g(x)) = 3g(x) + 2 =… |