Maharashtra State BoardHSC Science (General) 11th
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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

MCQ

Select the correct answer from given alternatives.

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

Options

  • {2}

  • {–2, 2}

  • {–2}

  • (–2, 2)

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Solution

{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}

  Is there an error in this question or solution?
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 6 Functions
Miscellaneous Exercise 6 | Q I. (6) | Page 130
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