Edith Z.

asked • 06/08/15

If f and g are inverse functions, f (6) = 5 and f (2) = 6, find g (6).

If f and g are inverse functions, f (6) = 5 and f (2) = 6, find g (6). solve

3 Answers By Expert Tutors

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David W. answered • 06/08/15

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4.7 (90)

Experienced Prof

Mark M.

So sorry that you feel "silly" about this exercise. Perhaps the cause is a conflation of the notation of "x" and "y" and the concept of input and output (just like computer programming).
 
A function and it's inverse function are similar to sitting down and standing up. One "undoes" the other.
If the function "f" takes an input of 2 and gets an output of 6, then the inverse function "g" takes the input 6 and produces the output 2. 
 
 
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06/08/15

David W.

To Mark M.,  Thanks for you concern.  I wanted to relate to a student who is about to realize how super-simple this concept is;  the light bulb goes on (and you feel like the teacher is not teaching, but tricking you -- like a little kid's joke).
 
My oldest memory of such an incident was sixth grade and I stood to define a word on the vocabulary list on the board.  I pronounced fatigue as FAT-E-GU and the class erupted in laughter.
 
True story:  A Marketing Executive was presenting PowerPoint slides about his company's software expertise and read the bullet as "Our Company is Experienced at Fours and Fives," but the bullet showed IV&V (Independent Verification & Validation).  The commanding general wasn't impressed.
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06/08/15

Ira S. answered • 06/08/15

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5.0 (298)

Bilingual math tutor and much more

ELEANOR B.

If f anf g are inverse then b is 2
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03/22/21

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