Question

Which statement describes the relationship between the function and its inverse?

Answer 1

Answer: if f(x) is our function and g(x) the inverse, then

f(g(x)) = x

"If f(x) asigns elements from a set I to a set K, then the inverse function traces back the elements from K to the original elements on I"

Step-by-step explanation:

If we have a function f(x) = y that is invertible (f(x) must be biyective)

Then the inverse function g(x) is such that:

g(y) = x

this means that:

g(y) = g(f(x)) = x

and

f(x) = f(g(y)) = y