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If f(x)=2 x²+b x+c, f(0)=3 and f(2)=1 , then (f o f)(1)=

Options

  1. A0
  2. B2
  3. C1
  4. D3

Correct answer

D. 3

Step-by-step solution

aligned Here f ( x ) &=2 x ²+ bx + c f (0) &=0+0+ c 3= c f (2) &=8+2 ~b +3 aligned array ll f =8 & +2 ~b +3 2 ~b =-10 b =-5 f ( x )= & 2 x ²-5 x +3 & f (1)=2-5+3=0 & ( f 0 f )( x )= f [ f ( x )] & ( f 0 f )(1)= f [ f (1)] & = f (0)=0-0+3=3 array

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