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

The missing term is 20

Step-by-step explanation:

Given

--- inverse of f(x)

Required

Complete h(x)

We have:

Express f(x) as y

Swap x and y

Multiply through by 2

Make y the subject

Replace y with the inverse function

Compare

with

The missing term is 20

30

step-by-step explanation:

times by times

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.