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Answer the following: Find whether the following function is one-one f : R → R defined by f(x) = x2 + 5

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Question

Answer the following:

Find whether the following function is one-one

f : R → R defined by f(x) = x2 + 5

Sum
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Solution

f : R → R defined by f(x) = x2 + 5

∵ f(– x) = f(x) = x2 + 5

∴ f is not one-one (i.e. many-one) function.

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Chapter 6: Functions - Miscellaneous Exercise 6.2 [Page 130]

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