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KCET2008MathematicsFunctions

If f : R R is defined by f ( x )= x ³ , then f ⁻¹(8) is equal to

Options

  1. A2
  2. B2,2 , 2 ²
  3. C2,-2
  4. D2,2

Correct answer

A. 2

Step-by-step solution

Let y=f(x)=x³ x = y ^ 1 / 3 f ⁻¹( x )= x ^ 1 / 3 f ⁻¹(8)=(8)^ 1 / 3 =2

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