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NDA2012MathematicsFunctionsActual

If f(x y)=f(x) f(y) , then f(t) may be of the form: where k, c are constants

Options

  1. At+k
  2. Bc t+k
  3. Ct^k+c
  4. Dt^k

Correct answer

D. t^k

Step-by-step solution

f(x y)=(x y)^k=x^k y ^ k =f(x) f(y) .

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