# 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 :

• {2}

• {–2, 2}

• {–2}

• (–2, 2)

#### 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?

#### 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