Precalculus Examples

${(- 5, - 4), (- 7, - 1), (0, - 5), (- 9, - 2), (- 6, - 3)}$

Step 1

Since there is one value of $y$ for every value of $x$ in $(- 5, - 4), (- 7, - 1), (0, - 5), (- 9, - 2), (- 6, - 3)$ , this relation is a function.

The relation is a function.

Step 2

Use the definition of the inverse of a function to find the inverse of the set. The inverse is found by swapping the values of $x$ and $y$ in each ordered pair.

$(- 4, - 5), (- 1, - 7), (- 5, 0), (- 2, - 9), (- 3, - 6)$

Step 3