Functions
The table shows the values of x and y that define a one-to-one function.
We can see for example that for x = 7, f(x) = 3.
We can also see that for f(x) = 1, then x = 9.
With those examples in mind, we can find:
f(1) = 0. We look below the value of x=1 and find the value of f(x) = 0
If f(x) = 3, we have to look to which value of x corresponds the value of f(x) = 3. Since the function is guaranteed to be one-to-one, we can say that x = 7
Now we find f^-1(0). This is similar to the previous part where we are given the value of f(x) and find the corresponding value of x. This value is x = 1, thus
f^-1(0) = 1
We are given f^-1(x) = 7. We are required to find the value of x. This is a tricky question because the inverse function gives us the corresponding value of x, so if we know the inverse function value equals 7, then x = 7
