Chapter 4, Problem 59SGR

To determine

To find the inverse of the function $f\left(x\right)=x$ .

Answer to Problem 59SGR

  $f^{-1}\left(x\right)=x$

Explanation of Solution

Given:

  $f\left(x\right)=x$

Calculation:

Let us consider,

  $y=x$

To find inverse function, replace $y$ by $x$ and then solve for $y$ in terms of $x$ . That is,

  $\begin{array}{l}x=y\\ \Rightarrow y=x\\ \therefore f^{-1}\left(x\right)=x\end{array}$