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

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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.

f(6) = 5 is information unrelated to the question.

f(2) = 6 then

g(6) = 2

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).

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