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# 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

Ira S. | Bilingual math tutor and much moreBilingual math tutor and much more
5.0 5.0 (260 lesson ratings) (260)
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The whole idea of an inverse function is that whatever one function does, the inverse undoes it.

So f(6)=5 means when f acts on 6, the result is 5....so the inverse would take 5 back to 6...or g(5)=6
So f(2)=6 means that f reassigns 2 to 6....so the inverse would take 6 back to 2....or g(6)=2

So g(6) comes out to be 2.

Hope this helped.
Mark M. | Mathematics Teacher - NCLB Highly QualifiedMathematics Teacher - NCLB Highly Qualif...
4.9 4.9 (188 lesson ratings) (188)
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f(6) = 5 is information unrelated to the question.

f(2) = 6      then
g(6) = 2
David W. | Experienced ProfExperienced Prof
4.4 4.4 (47 lesson ratings) (47)
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Although it is certainly “fair game” to ask such a question to determine whether you understand the concept, I always feel silly when I find out the answer – sort of like a little kid’s joke.

The concept of function is important – there is, at most, one y for each x.

An inverse function is also a function, but it goes the other way:  there is., at most, one x for each y.

O.K., since g is the inverse function of f and f(2) = 6 then g(6)=2.        (this seems silly to me)

Now, just to confuse us, the question writer gave TMI (too much information) with the part that says F(6)=5.  That has nothing to do with our solution (unless you don’t understand the problem).