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AP EAMCET2005MathematicsFunctions

The function f: C C defined by f(x)= a x+d c x+d for x C where b d 0 reduces to a constant function, if

Options

  1. Aa=c
  2. Bb=d
  3. Ca d=b e
  4. Da b=c d

Correct answer

C. a d=b e

Step-by-step solution

Now, take option (c) i.e., a d=b c a b = c d =k (say) From equation (i), aligned f(x) & = b k x+b d k x+d & = b(k x+1) d(k x+1) = b d = constant aligned

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