Let , where . Then the inverse of…

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let f:N→Nf:\mathbb N\to\mathbb N, where f(x)=x+(−1)x−1f(x)=x+(-1)^{x-1}. Then the inverse of ff is (a) f−1(x)=x+(−1)x−1, x∈Nf^{-1}(x)=x+(-1)^{x-1},\ x\in\mathbb N (b) f−1(x)=3x+(−1)x−1, x∈Nf^{-1}(x)=3x+(-1)^{x-1},\ x\in\mathbb N (c) f−1(x)=x, x∈Nf^{-1}(x)=x,\ x\in\mathbb N (d) f−1(x)=(−1)x−1, x∈Nf^{-1}(x)=(-1)^{x-1},\ x\in\mathbb N

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