Show that the function f:R→{x∈R:−1<x<1} defined by f(x)=x1+|x|, x∈R is one one and onto function.
Question
Solution 1
To prove that a function is one-one (injective) and onto (surjective), we need to show that for every element in the domain there is a unique element in the co-domain, and every element in the co-domain is the image of some element in the domain.
- Proving one-one (injectivity):
Assume that f(x1) Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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