Question

The inverse function of $f^{-1}\left(x\right),if{f}^{-1}\left(x\right)existsisf\left(x\right)$

• A. True
• B. False

Answer 1

The correct option is A

True

Let’s say we have a function f: A $\to$ B then the inverse of this would be defined as f^-1 : B $\to$ A . Let’s say this function as ‘g’ so $f^{-1}$(x) = g(x). Now, we can say g is defined on B $\to$ A. If we want to define the inverse function on g which is g^-1 it’ll be defined on A $\to$ B. We can see that this function is nothing but f(x).