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nignag [31]
4 years ago
14

Match the sets of points representing one-to-one functions with the sets of points representing their inverse functions.

Mathematics
1 answer:
galben [10]4 years ago
5 0
The answer is already given in your question. The inverse of a function
f is f-1, g is g-1, h is h-1 and i is i-1.

To explain why the inverse of 
<span>f = {(1,2), (2,3), (3,4), (4,5), (5,6), (6,7)}
is
f-1 = </span><span>f -1 = {(2,1), (3,2), (4,3), (5,4), (6,5), (7,6)}
and that of the other functions to their corresponding inverses is because of the definition of the inverse of a function which is
f = (x, y)
f-1 = (y, x)

Simply, the x and y coordinates of a function are interchanged to get the inverse of the function.</span><span />
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Delicious77 [7]

The graph which best represents the new function is a linear function on a coordinate plane as shown in the image below.

<h3>How to determine the graph of the new function?</h3>

First of all, we would determine the slope of the linear function as follows:

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Multiplying by -4, the new slope is:

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For the equation of this line, we have:

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y - 0 = -8/3(x - 3)

y - 0 = -8/3x + 8

y = -8/3x + 8

Decreasing the y-value by 1, we have:

y = -8/3x + 8

y = -8/3x + 8 - 1

y = -8/3x + 7

Therefore, we would have a linear function on a coordinate plane as shown in the image attached below.

Read more on slope here: brainly.com/question/17601248

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