Question 1: The problem is asking to find the inverse function of h(x), which means finding a function that, when applied to the output of h(x), gives the original input value of x. I will try to swap the x and y variables and solve for y.
Question 2: The inverse function of h(x) is obtained by swapping x and y variables and solving for y, resulting in y = 2(x - 1).
Step by step solution:
1. Start with the original function h(x) = 1 + (1/2)x
2. Replace h(x) with y: y = 1 + (1/2)x
3. Swap x and y variables: x = 1 + (1/2)y
4. Solve for y: x - 1 = (1/2)y
5. Multiply by 2 to isolate y: 2(x - 1) = y
6. Therefore, the inverse of h(x) is y = 2(x - 1).