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Let Ro be the set of all nonzero real numbers. Then, show that the function f: Ro → Ro: f(x) = 1/x is one-one and onto.

General Awareness FUNCTIONS IN GENERAL AWARENESS . 2 years ago

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We know that

f(x1) = f(x2)

It can be written as

1/x1 = 1/x2

So we get

x1 = x2

Hence, f is one-one.

Take y = 1/x

It can be written as

x = 1/y

Each y in co domain Ro there exists 1/y in domain Ro where f(1/y) = 1/(1/y) = y

Hence, f is onto.

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Posted on 06 Oct 2022, this text provides information on General Awareness related to FUNCTIONS IN GENERAL AWARENESS. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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