Chapter 4, Problem 56SGR

To determine

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

Answer to Problem 56SGR

  $f^{-1}\left(x\right)=-x$

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,

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