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Let f(x)= a x+b c x+d . Then, f o f(x)=x provided that

Options

  1. Ad=-a
  2. Bd=a
  3. Ca=b=c=d=1
  4. Da=b=1

Correct answer

A. d=-a

Step-by-step solution

Given, and f o f(x)=x f ( a x+b c x+d )=x array l a ( a x+b c x+d )+b c ( a x+b c x+d )+d =x x (a²+b c )+a b+b d x(a c+c d)+b c+d² =x d=-a array

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