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

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प्रश्न

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

f(x) = 5x2

योग
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उत्तर


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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अध्याय 6: Functions - Exercise 6.2 [पृष्ठ १२८]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
अध्याय 6 Functions
Exercise 6.2 | Q 5. (a) | पृष्ठ १२८

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