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3241004551 [841]
3 years ago
8

If G-1(x) is the inverse of G(x), what is the value of G-^1(G(x))?

Mathematics
2 answers:
vlada-n [284]3 years ago
8 0

Answer:

x

Step-by-step explanation:

If you multiply a function and its inverse, you will will always get x back.

f-1( f(x) ) = x

kodGreya [7K]3 years ago
6 0

Answer:

the value of G^-1(G(x)) is x

Step-by-step explanation:

We define G^-1(x) as the inverse of G(x), when we talk about functions inverse does not work like with the numbers, this means that G^-1(x) is not equal to 1/G(x).

Inverse means that if:

G(x) = y

then:

G^-1(y) = x

then if we have:

G^-1(G(x)) = G^-1(y) = x

so when we evaluate a given function in its inverse, the result is the input of the function.

And is the same in the case:

G(G^-1(x)) = x

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