Inversingggggggg

Question

given f(2)=8, what is f^-1(8)?

Answer 1

If f is a one-to-one function, then its inverse function, f−1, is well-defined.

f−1:R→R If f is a one-to-one function, then its inverse function, f−1, is well-defined.

Suppose, for example :

f:R→R

x↦f(x)=y

Then f−1 do the opposite/reverse :

y↦f−1(y)=x

Thus, if f(x)=y, then f−1(f(x))=f−1(y)=x.

Therefore, if f(2)=8, you apply f−1 to both sides and you get :

f−1(f(2))=f−1(8)=2.