Home » Mathematics » If (f(x) = 2x^2 – 5x + 3), find f(x + 1).

If (f(x) = 2x^2 – 5x + 3), find f(x + 1).

If (f(x) = 2x^2 – 5x + 3), find f(x + 1).

  • A.
    2x2 – x
  • B.
    2x2 – x + 10
  • C.
    4x2 + 3x + 2
  • D.
    4x2 + 3x + 12
Correct Answer: Option A
Explanation

(f(x) = 2x^2 – 5x + 3)

(f(x + 1) = 2(x + 1)^2 – 5(x + 1) + 3)

= (2(x^2 + 2x + 1) – 5x – 5 + 3)

= (2x^2 + 4x + 2 – 5x – 2)

= (2x^2 – x)