Question

true or false for any function x=f^-1(y) then x=f^-1(y). explain

Answer 1

do you mean "for any function y =f(x) then x = f^-1(y) " ?

Answer 2

i meant for any function,x=f^-1(y) then y=f(x) explain

Answer 3

thats what dc was saying. it is true. it is the inverse function; where the x and y values are inversed.

Answer 4

do you mean "for any function y =f(x) then x = f^-1(y) " ????

Answer 5

It is true because thats how the inverse function is defined:
\[x = f(f^{-1}(x))\]
If you substitute f^-1(y) for x, then
\[y = f(f^{-1}(y))\]