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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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प्रश्न

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

f(x) = 5x2

योग

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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Algebra of Functions
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Functions - Exercise 6.2 [पृष्ठ १२८]

APPEARS IN

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

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