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Describing Inverses of Functions

Describing Inverses of Functions 1.6 - Solution

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Before we can find the inverse of the given function, we need to replace with To algebraically determine the inverse of the given function, we exchange and and solve for The result of isolating in the new equation will be the inverse of the given function.
Solve for
Now, we will replace with to complete the operation.

Graphing the Function

Because the given function is in slope-intercept form, we can graph it using its slope and intercept to graph it.

Graphing the Inverse of the Function

To graph the inverse linear function, let's write it in slope-intercept form. Now, let's add it to the graph of the given function so that we can more easily see how it is a reflection on the line