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

Question

asked Nov 20, 2022 193k views

2 Answers

Surveon · Answer 1 · 2022-11-27T02:45:51+0000

Answer:

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