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BITSAT2023MathematicsFunctionsActual

If f(x)= x 1+x^2 , then (fof of) (x) is

Options

  1. A3 x 1+x^2
  2. Bx 1+3 x^2
  3. C3 x 1-x^2
  4. DNone of these

Correct answer

B. x 1+3 x^2

Step-by-step solution

f(x)= x 1+x^2 fof = x 1+x^2 1+ x^2 1+x^2 = x 2 x^2+1 fofof = x 2 x^2+1 1+ x^2 2 x^2+1 = x 1+3 x^2

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