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AP EAMCET2013MathematicsFunctions

If f(x)= (p-x^n )^ 1 / n , p>0 and n is a positive integer, then f[f(x)] is equal to

Options

  1. Ax
  2. Bx^n
  3. Cp^ 1 / n
  4. Dp-x^n

Correct answer

A. x

Step-by-step solution

Given, f(x)= (p-x^n )^ 1 / n , p>0 Now, aligned f[f(x)] & =f [ (p-x^n )^ 1 / n ] & = p- (p-x^n )^ 1 / n n ^ 1 / n & = (x^n )^ 1 / n =x aligned

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