Answer: To find the inverse of the function f(x), we need to switch the roles of x and y, so that x becomes the dependent variable and y becomes the independent variable. Then, we need to solve for x in terms of y.
Let y = √x - 5, then x = y^2 + 5.
To find f^-1(2), we need to substitute 2 for y in the equation x = y^2 + 5:
x = 2^2 + 5 = 9
So f^-1(2) = 9.
This means that the inverse of f(x) at 2 is 9. In other words, if f(x) = 2, then x = 9.
Explanation: