What is function composition?
Q: What is function composition?
A: Function composition is a way of making a new function from two other functions through a chain-like process.
Q: How is the value of g composed with f written?
A: The value of g composed with f is written as (g ∘ f)(x), and is defined as g(f(x)).
Q: What are some examples of functions?
A: An example could be a function which doubles a number (multiplies it by 2) and another which subtracts 1 from a number.
Q: What would be an example of g composed with f?
A: An example of g composed with f would be the function which doubles a number, and then subtracts 1 from it. That is (g ∘ f)(x)=2x-1.
Q: What would be an example of f composed with g?
A: An example of f composed with g would be the function which subtracts 1 from a number, and then doubles it; that is (f ∘ g)(x)=2(x-1).
Q: Can composition also be generalized to binary relations?
A: Yes, composition can also be generalized to binary relations, where it is sometimes represented using the same symbol (as in R ∘ S).
