A one-to-one function f has an inverse f−1 satisfyingf−1(f(x)) =__________andf(__________) =y.
x;f−1(y)
A one-to-one function f has an inverse f−1 satisfying the following:
1. f−1(f(x)) = x (for all x in the domain of f)
This means that if we apply the function f and then the inverse function f−1, we should get back the original input value x.
2. f(f−1(y)) = y (for all y in the range of f)
This means that if we apply the inverse function f−1 and then the function f, we should get back the original output value y.
Therefore, the answer to the first blank is x, and the answer to the second blank is y.
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