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Is the given function invertible?

a) Yes
b) No
c) Depends on the function
d) Insufficient information provided

User Zepolyerf
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1 Answer

3 votes

Final answer:

To determine if a function is invertible, it must be both one-to-one and onto. Without this information, it is insufficient to determine if the function is invertible or not.

Step-by-step explanation:

In order for a function to be invertible, it must be both one-to-one and onto. A function is one-to-one when each element in the domain maps to a unique element in the range. A function is onto when every element in the range has a corresponding element in the domain.

If a function is not one-to-one, there are multiple elements in the domain that map to the same element in the range. If a function is not onto, there are elements in the range that do not have a corresponding element in the domain.

Therefore, in order to determine if a given function is invertible, we need to know if it is one-to-one and onto. Without this information, it is insufficient to determine if the function is invertible or not. The correct answer is d) Insufficient information provided.

User Mazhar Islam
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