We want to fill in the blanks in the following sentence.
If f and g are functions such that f(g(x)) = x and g(f(x)) = x, then the function g is the function of f, and is denoted by .
The composite function f(g(x)) is equal to x.
f(g(x))=x
This means that when we apply the function g to the input value x and then apply the function f to the result, we get back to the original input x. We are also given that the function g(f(x)) is equal to x.
g(f(x))=x
In a similar vein, this means that when we apply the function f to the input x and then apply the function g to the result, we get back to the original input x. In other words, the functions f and g undo the actions of each other. This implies that g is the inverse function of f, and is denoted by f^(- 1).
If f and g are functions such that f(g(x)) = x and g(f(x)) = x, then the function g is the inverse function of f, and is denoted by f^(-1).
