The values that make these two tables inverses of each other are a = -3.8, b = -2.6, c = 1.7, d = 4.4, and e = 1.0
Given: There are two rows in the given table.
namely x and y.
What are the inverses for an ordered pair?
For a given ordered pair (x, y) the inverse is defined as (y, x). The x and y values interchange their places.
In functional terms, for a given function y = f(x), the inverse is finding the value of x that will be x = f⁻¹(y).
So the inverse for the given function y = f(x) is x = f⁻¹(y).
In graphical terms the inverse can be defined as the points which are mirror image with respect to the axis. That is when we fold the graph about the line of symmetry or let's say axis, the two points in the opposite region of the graph coincides.
Why are inverses important?
Inverses are important because they reverse the mathematical function. Finding the invert is also one of the most important question in mathematics.
Now let's solve the question.
Observe the given table. From the given grey and orange table we see that the values of x are placed in the values of y and the value of y are placed in the value of x respectively.
We can say that the orange table is the inverse of the grey table or the grey table is the inverse of the orange table.
Therefore by comparing and equating values in both grey and orange table we find that:
a = -3.8
b = -2.6
c = 1.7
d = 4.4
e = 1.0
Hence values that make these two tables inverses of each other are a = -3.8, b = -2.6, c = 1.7, d = 4.4, and e = 1.0
Know more about "inverse functions" here: https://brainly.com/question/2541698
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Disclaimer: The question is incomplete. The complete question is given below:
Find the values of a through e that make these two relations inverses of each other which are a, b, c, d, and e.
