Inverse Functions – Inverse Relations

Inverse Relations

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The problems in this lesson cover inverse relations. To find the inverse of a relation, such as y = x^2, we simply switch the x and the y, to get x = y^2. Next, we solve for y, to get y = plus or minus root x. Therefore, y = x^2 and y = plus or minus root x are inverse relations. In summary, when finding inverse relations, we switch the x and y, then solve for y. When graphing inverse relations, it's important to understand that the graph a relation and its inverse will be mirror images of each other in the line y = x.
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