Question

Let f: R $\to$ R be defined by f(x) such that its inverse exists and given f (1) = 3, f (2) = 7 then find the f${}^{-1}$ (7) . f${}^{-1}$ (3) ?

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Answer 1

According to the definition of inverse if f(a) = b then f${}^{-1}$(b) = a. Here we are given that f(1) = 3 and f(7) = 2 , So f${}^{-1}$(3) = 1 and f${}^{-1}$(7) = 2. And the product of them will be 2.