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If f(x+1)=x^2-3 x+2 , then what is f(x) equal to?

Options

  1. Ax^2-5 x+4
  2. Bx^2-5 x+6
  3. Cx^2+3 x+3
  4. Dx^2-3 x+1

Correct answer

B. x^2-5 x+6

Step-by-step solution

For aligned f(x+1) & =x^2-3 x+2 & = (x^2+2 x+1 )-5 x-5+6 aligned aligned & =(x+1)^2-5(x+1)+6 & f(x)=x^2-5 x+6 aligned

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