bigchow
20.11.2020 •
Mathematics
Function s is the set of points: {(4,3),(5,3),(8,6),(9,6),(12,9),(13,9)}
(a) What is the inverse of function s?(b) the inverse of function s a function?
Explain your answer.
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Ответ:
Given:
The function in the form of set of points is
To find:
(a) The inverse of function s.
(b) whether the inverse of function s is a function?
Solution:
(a)
If a function is , then its inverse function is
We have,
So, inverse of this function is
Therefore, the inverse of function s is .
(b)
A set of point is a function if there exist unique output for each input.
In inverse of s, we have two output values y=4 and y=5 for single input x=3.
Therefore, the inverse of function s is not a function.
Ответ:
b
Step-by-step explanation: