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If f is a one-to-one function and f(5)=9, then f^-1 (9)=

User Piyal
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Final answer:

If f is a one-to-one function and f(5)=9, then f^-1 (9)=5.

Step-by-step explanation:

A one-to-one function, also known as an injective function, is a function where each element in the domain maps to a unique element in the codomain.

Since f is one-to-one and f(5)=9, it means that the input value 5 is mapped to the output value 9.

To find f-1(9), we simply need to reverse the roles of the input and output values.

So, f-1(9) would be equal to the input value that maps to 9. In this case, it is 5, since f(5)=9.

Therefore, f-1(9)=5.

User Dqd
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