Finding Inverse Functions: f(22)=9, f^-1(13)=7 | 1-1 Functions

[steve snash]

Homework Statement

f(22)=9 and f^-1(13)=7

find f^-1(9) and f(7)

(given that these are 1-1 functions)

Homework Equations

What does this mean as the have not given the equations they used to find the values, i know inverse function is the function that can find the opposite of the original function.

The Attempt at a Solution

Can someone help me see how to start to work out this problem??

 

[rock.freak667]

If a function f maps x onto y, then what should the inverse function do?

 

[steve snash]

map y onto x, but what does that mean

 

[rock.freak667]

map y onto x, but what does that mean

In the first case f(22)=9, this means that the function f, maps 22 to 9.

then f^-1(9), means the function f^-1 maps 9 onto ?

 

[icystrike]

Homework Statement

f(22)=9 and f^-1(13)=7

find f^-1(9) and f(7)

(given that these are 1-1 functions)

Homework Equations

What does this mean as the have not given the equations they used to find the values, i know inverse function is the function that can find the opposite of the original function.

The Attempt at a Solution

Can someone help me see how to start to work out this problem??

What does it mean by f^{-1}[f(x)] or f[f^{-1}(x)] it simply means to tie your shoelace and undo it .. or vice versa.