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mamaluj [8]
3 years ago
6

If F -1(x) is the inverse of F(x), which statements must be true?

Mathematics
1 answer:
hichkok12 [17]3 years ago
4 0

The inverse function, denoted F^{-1}(x), of a one-to-one function F(x) is defined as

F^{-1}(x) = \{(y,x) | \text{ such that } y = f(x)\}.

Main properties:

1. F(F^{-1}(x)) = x, x in the domain of F^{-1};

F^{-1}(F(x)) = x, x in the domain of F.

2. The domain of F is equal to the range of  F^{-1} and the range of F is equal to the domain of  F^{-1}.

From these properties you can state that options B, C, D and E are true and points A and F are false.


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