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Check if the following function has an inverse function. If yes, find the inverse function. f(x) = 8 - Mathematics and Statistics

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Question

Check if the following function has an inverse function. If yes, find the inverse function.

f(x) = 8

Sum

Solution

f(x) = 8

∵ f(2) = f(– 2) = 8

∴ f(2) = f(– 2) but 2 ≠ – 2

∴ f is not one-one

∴ f–1 does not exist.

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Algebra of Functions
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Chapter 6: Functions - Exercise 6.2 [Page 128]

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