True or false: for any function, x=f^-1(y), then y=f(x)

YES

We can work out the inverse using Algebra. Put "y" for "f(x)" and solve for x:

The given statement is false.                      

Step-by-step explanation:

Given :  For any function, then

To find : The above statement is true or false?

Solution :

In the above statement the condition then is valid for some function not for all.

Which means the statement is not true.

Taking a contrary example,

A trigonometric function  

The function is one-one and onto in the domain

Thus, its inverse exists in

i.e.,

It depends on the domain for the given statement to be true.

Therefore, The given statement is false.                                                                    

make sure you have version 2.50

try looking in the very back of the book : )

step-by-step explanation:

you can download it here