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If for a particular one-to-one function f(2) = 13, what are the corresponding input and output

values for the inverse function?

User RedComet
by
7.8k points

1 Answer

11 votes

Answer:


f^(-1)(13) = 2.

Explanation:

For function
f, the notation
f(2) = 13 means that when the input to the function is
2, the output would be
13.

The inverse function of a one-to-one function
f is commonly denoted as
\!f^(-1).

The inverse function undoes the action of the original function. In this question,
f maps
2 to
13. Thus,
f^(-1) would need to map
13\! back to
2\!. Therefore,
f^(-1)(13) = 2 should be the corresponding input and output values.

User Fernando Silveira
by
8.4k points

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