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Inverses Generally

In previous sections, you have explored how the multiplicative inverse of a slope creates a line that is perpendicular to the line the slope defines. When a function is the inverse of another function, the situation differs. In such a case, as Figure 7.10 illustrates, the values of the x and y coordinates that make up the coordinate pairs of the two lines occur in reversed order. Rather than being perpendicular to each other, the lines are symmetrical.

Figure 7.10. Equations that are the inverse of each other generate inverted ordered pairs.

At the top of Figure 7.10, there is a table in which the coordinate pairs on the ...

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