The mapping diagram which shows the inverse of R(x) is Option (C).
What is a mapping diagram ?
A function is a special type of relation in which each element of the domain is paired with exactly one element in the range . A mapping diagram shows how the elements are paired. Its like a flow chart for a function, showing the input and output values. A mapping diagram consists of two parallel columns.
How to find the mapping diagram which contains the inverse of a function ?
To identify the mapping diagram for inverse of a function, we simply just change the values of first set of columns into the second set of columns.
This is because if [tex]f(x) = y[/tex] , then [tex]f^{-1}(y) = x[/tex]
For the given function R(x) , values are 6,7,8,9 in first column and 9,10,11,12 in the second column . Thus for the inverse function, 6,7,8,9 will be in the second column and 9,10,11,12 will be in the first column.
From the given Options, Option (C) is the correct mapping of inverse of R(x).
Thus, the mapping diagram which shows the inverse of R(x) is Option (C).
To learn more about mapping diagram, refer -
https://brainly.com/question/1625866
#SPJ2
