Question

The inverse of the function f(x) = one-half x plus 10 is shown. H(x) = 2x- What is the missing value?

Answer 1

its d on edge

Explanation:

Answer 2

The missing term is 20

Explanation:

Given

`f(x) = (1)/(2)x + 10`

`h(x) = 2x -` --- inverse of f(x)

Required

Complete h(x)

We have:

`f(x) = (1)/(2)x + 10`

Express f(x) as y

`y = (1)/(2)x + 10`

Swap x and y

`x = (1)/(2)y + 10`

Multiply through by 2

`2x = y + 20`

Make y the subject

`y = 2x - 20`

Replace y with the inverse function

`h(x) = 2x - 20`

Compare

`h(x) = 2x - 20`

with

`h(x) = 2x -`

The missing term is 20