Answer: h(x)=(1/2)x+5 of (x/2)+5
Step-by-step explanation: To solve for the inverse of a function, we simply replace all the Xs with Ys and Ys with Xs. This may sound confusing at first but I will explain.
We are given the function f(x) = 2x-10. This can be rewritten as y=2x-10. We replace the y with x and the x in 2x with y. This gives us x = 2y-10. Remember, we need to isolate y to get a function in slope-intercept form. All the answer choices are in slope-intercept form (y=mx+b).
x = 2y-10
x + 10 = 2y
(x + 10)/2 = y
(1/2)x + 5 = y
This gives us the equation y = (1/2)x + 5. We can replace y with h(x) to represent a function.
We are left with the function h(x)=x/2+5
Hope this helps!