Answer:
4. h(x) = 1/2x +5
Step-by-step explanation:
You want the inverse of the function f(x) = 2x -10.
To find the inverse function, swap x and y and solve for y.
y = 2x -10 . . . . function
x = 2y -10 . . . . inverse relation
x +10 = 2y . . . . add 10
1/2x +5 = y . . . . multiply by 1/2
The inverse function is h(x) = 1/2x +5, matching choice 4.