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Select the correct answer from given alternatives. If f : R → R is defined by f(x) = x3 then f–1 (8) is equal to : - Mathematics and Statistics

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प्रश्न

Select the correct answer from given alternatives.

If f : R → R is defined by f(x) = x3 then f–1 (8) is equal to :

पर्याय

  • {2}

  • {–2, 2}

  • {–2}

  • (–2, 2)

MCQ

उत्तर

{2}

Explanation;

f(x) = x3 = y, say

∴ x = `y^(1/3)` = f–1 (y)

∴ f–1 (8) = `(8)^(1/3) = (2^3)^(1/3)`

∴ f–1 (8) = {2}

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पाठ 6: Functions - Miscellaneous Exercise 6.1 [पृष्ठ १३०]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
पाठ 6 Functions
Miscellaneous Exercise 6.1 | Q I. (6) | पृष्ठ १३०

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