On my last post I forgot to add that I need to know if they are inverses of each other.
To determine if two functions are inverses of each other, we need to follow these steps:
1. Let's start with two functions, f(x) and g(x). To check if g(x) is the inverse of f(x), we need to verify if applying both functions in sequence will "cancel out" and return us to the original input.
2. First, we need to find the composition of the functions by performing f(g(x)). This means we substitute g(x) into f(x). If this composition equals x, then g(x) can be considered the inverse function of f(x).
3. Similarly, we also need to find the composition of g(f(x)) by substituting f(x) into g(x). If this composition equals x, then f(x) is the inverse function of g(x).
4. If both compositions are equal to x, then the two functions are inverses of each other. Otherwise, if they are not equal for any value of x, they are not inverses.
Now, if you provide the two functions, I can guide you through the steps of verifying if they are inverses of each other.