the inverse of the function $f(x)=\frac{1}{2}x + 10$ is shown.\nh(x)=2x - square\nwhat is the missing…

the inverse of the function $f(x)=\frac{1}{2}x + 10$ is shown.\nh(x)=2x - square\nwhat is the missing value?\n1\n5\n10\n20

the inverse of the function $f(x)=\frac{1}{2}x + 10$ is shown.\nh(x)=2x - square\nwhat is the missing value?\n1\n5\n10\n20

Answer

Explanation:

Step1: Let (y = f(x))

Let (y=\frac{1}{2}x + 10).

Step2: Solve for (x) in terms of (y)

First, subtract 10 from both sides: (y - 10=\frac{1}{2}x). Then multiply both sides by 2 to get (x = 2y-20).

Step3: Swap (x) and (y)

The inverse function (h(x)) is obtained by swapping (x) and (y), so (h(x)=2x - 20).

Answer:

D. 20