The composition of two functions is a mathematical operation in which the output of one function is used as the input for another function. It can be written as (f ∘ g)(x) = f(g(x)), where g(x) is the inner function and f(x) is the outer function.
The composition of two functions is different from multiplication because it involves using the output of one function as the input for another function, whereas in multiplication, both inputs are used to calculate the output.
Yes, any two functions can be composed as long as the output of one function is compatible with the input of the other function. This means that the domain of the inner function must be a subset of the domain of the outer function.
The order of composition in two functions matters. In other words, the order in which the functions are composed affects the final result. This is because the output of one function becomes the input for the other function, and changing the order changes the input.
Yes, the composition of two functions can be reversed, but the resulting function may not be the same as the original functions. This is because reversing the order of composition may result in a different output for the same input.