SOLUTION: Find the inverse of these functions F(f-1(x)) F-1(f(x))

Question 1150131: Find the inverse of these functions
F(f-1(x))
F-1(f(x))
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!

Very poorly posted; not clear.

(1) Are "F" and "f" the same? (If not, the question makes no sense at all.)

(2) Are the "f-1" and "F-1" supposed to be inverse functions, "f^(-1)" and "F^(-1)"?

If F and f are the same, and those are supposed to be inverse functions (the only way the post makes sense), then

f(f^(-1)(x)) = x

and

f^(-1)(f(x) = x

So each of those functions is equivalent to the identity function, g(x)=x.

And the inverse of the identity function is the identity function.

ANSWER: The inverse of each of the given functions is the identity function, g(x)=x.

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