Combining functions

Answer 1

Combining functions involves taking the output of one function and using it as the input for another function. This process allows you to create more complex functions by building upon simpler functions.

For example, if you have two functions f(x) and g(x), you can combine them by taking the output of f(x) and plugging it into g(x) to create a new function h(x) = g(f(x)). This means that the output of f(x) becomes the input for g(x).

Another way to combine functions is by composing them, which means applying one function to the output of another function. For example, if you have two functions f(x) = 2x and g(x) = x^2, you can compose them to create a new function h(x) = g(f(x)) = (2x)^2 = 4x^2.

Combining functions is a useful technique in mathematics and can help simplify complex expressions or solve more challenging problems. By understanding how to combine functions, you can manipulate and analyze functions in a more efficient way.