To find the inverse of the function f(x) = 2x - 10, swap f(x) and x:
x = 2f^(-1)(x) - 10
Add 10 to both sides:
x + 10 = 2f^(-1)(x)
Divide by 2:
(x + 10)/2 = f^(-1)(x)
So, the inverse function is f^(-1)(x) = (x + 10)/2.
Now, check the given options:
h(x) = (x + 10)/2
Therefore, the correct answer is h(x) = (x + 10)/2.
