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.                                                                    

what?

step-by-step explanation:

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.