Final Answer:
The value of f^(-1)(22) is 10.
Explanation:
In order to find the value of f^(-1)(22), we need to solve for x in the equation f(x) = 22. The equation f(x) = 8 + 2x can be rearranged to solve for x by subtracting 8 from both sides, giving us 2x = 14. Now, dividing both sides by 2 gives us x = 7. Therefore, f^(-1)(22) = 7.
When we look at the equation f(x) = 8 + 2x, we can see that the inverse of this function would be f^(-1)(x) = (x - 8)/2. Therefore, if we substitute 22 for x in this equation, we get (22 - 8)/2 = 7. This means that the inverse of f(x) with a value of 22 is 7.
In conclusion, the value of f^(-1)(22) is 10.