Question

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

Answer 1

Answer:

$f^{-1}(13) = 2$.

Step-by-step 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.