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Manipal MET2019MathematicsFunctions

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

Options

  1. Ax^3
  2. Bx^2
  3. Cx
  4. DNone of these

Correct answer

C. x

Step-by-step solution

Given that, f(x)= (a-x^n )^ 1 / n aligned f[f(x)] & = [a- f(x) ^n ]^ 1 / n & = [a- (a-x^n ) ]^ 1 / n =x aligned

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