To me, they're some of the most straight-forward multiple choice questions the students encounter on the exam; yet, year after year they miss this question (at least on their unit tests and mock exam).

So, clearly, not as straight-forward as I thought...

This year I formalized a strategy for them in three steps. Not all three of these steps are necessary every time; but, if my students took the time to follow all three steps, they got these questions correct.

Here are the steps:

**If**

*f*and*g*are differentiable functions and*g*is the inverse of*f*, then to find*g'*(*a*):

**List all points given on***f*as ordered pairs.**List the points you now know are on***g*(switch x and y).**Follow this formula:***g'*(*a*)=1/(*f'*(*g*(*a*)).

Following the steps, we would work this question as follows:

How about one that describes

*f*as an algebraic or numeric function, such as this FRQ from 2007:
Students could certainly start with Step 1 again and work their way down, but I encourage them--once they get comfortable--to feel free to start with Step 2 and fill in the blanks as they see fit. Here's how I would suggest they work this problem:

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