Chapter 4.7, Problem 2CYU

To determine

To find: The inverse from the given table.

Answer to Problem 2CYU

The inverse is $\left\{\left(11.8,-3\right),\left(3.7,0\right),\left(1,1\right),\left(-12.5,6\right)\right\}$ .

Explanation of Solution

Given:

The table is,

$x$	-3	0	1	6
$y$	11.8	3.7	1	-12.5

Calculation:

From the given table, the coordinates as ordered pair are:

  $\begin{array}{l}\left(-3,11.8\right)\\ \left(0,3.7\right)\\ \left(1,1\right)\\ \left(6,-12.5\right)\end{array}$

Exchange the x and y coordinates to obtain the inverse.

  $\begin{array}{c}\left(-3,11.8\right)\to \left(11.8,-3\right)\\ \left(0,3.7\right)\to \left(3.7,0\right)\\ \left(1,1\right)\to \left(1,1\right)\\ \left(6,-12.5\right)\to \left(-12.5,6\right)\end{array}$

Thus, the inverse is $\left\{\left(11.8,-3\right),\left(3.7,0\right),\left(1,1\right),\left(-12.5,6\right)\right\}$ .