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Check if the following function has an inverse function. If yes, find the inverse function. f(x) = 5x2 - 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) = 5x2

Sum

Solution


f(x) = 5x2 = y (say)

For two values (x1 and x2) of x, the values of the function are equal.

∴ f is not injective

∴ f does not have an inverse.

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

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