Which one is the intersection point of
f(x) = x3 + 3x and
g(x) = x2 + 3

A) (0,0)
B) (0,3)
C) (1,4)
D) (-1,4)

I URGENTLY NEED HELP PLEASE , I WOULD ALSO MARK AS BRAINLIEST!!

Respuesta :

Answer: C) (1,4)

Step-by-step explanation:

The intersection point is where f(x) = g(x)

x³ + 3x = x² + 3

x³ - x² +3x - 3 = 0

  • A. (0, 0) → x = 0 → (0)³ - (0)² +3(0) - 3 = -3 ≠ 0
  • B. (0, 3) → x = 0 → (0)³ - (0)² +3(0) - 3 = -3 ≠ 0
  • C. (1, 4) → x = 1 → (1)³ - (1)² +3(1) - 3 = 0 + 0 = 0
  • D. (-1, 4) → x = -1 → (-1)³ - (-1)² +3(-1) - 3 = 0 - 3 - 3 = -6 ≠ 0
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