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NDA 2012
Exam
NDA
Year
2012
Subject
Mathematics
Chapter
Functions

NDA 2012 · Mathematics · Functions

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

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

Options

  1. At+kt+k
  2. Bct+kc t+k
  3. Ctk+ct^k+c
  4. Dtkt^k

Correct answer

D. tkt^k

Step-by-step solution

f(xy)=(xy)k=xk⋅\mathrmyk=f(x)⋅f(y)f(x y)=(x y)^k=x^k \cdot \mathrmy^{\mathrm{k}}=f(x) \cdot f(y).
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