a. Jika F(x) = (2x - 4)^2 - x^2, hitung F(2), F(0), dan

a. F(2) = -4, F(0) = 16, F(-2) = 60. b. F(4) = 153, F(0) = 1, F(-4) = 201.

Pembahasan

Untuk soal ini, kita akan menghitung nilai fungsi F(x) pada nilai x yang diberikan.

a. Jika F(x) = (2x - 4)² - x²:
   - Menghitung F(2):
     F(2) = (2(2) - 4)² - (2)²
     F(2) = (4 - 4)² - 4
     F(2) = (0)² - 4
     F(2) = 0 - 4
     F(2) = -4

   - Menghitung F(0):
     F(0) = (2(0) - 4)² - (0)²
     F(0) = (0 - 4)² - 0
     F(0) = (-4)² - 0
     F(0) = 16 - 0
     F(0) = 16

   - Menghitung F(-2):
     F(-2) = (2(-2) - 4)² - (-2)²
     F(-2) = (-4 - 4)² - 4
     F(-2) = (-8)² - 4
     F(-2) = 64 - 4
     F(-2) = 60

b. Jika F(x) = (3x - 1)² + 2x²:
   - Menghitung F(4):
     F(4) = (3(4) - 1)² + 2(4)²
     F(4) = (12 - 1)² + 2(16)
     F(4) = (11)² + 32
     F(4) = 121 + 32
     F(4) = 153

   - Menghitung F(0):
     F(0) = (3(0) - 1)² + 2(0)²
     F(0) = (0 - 1)² + 2(0)
     F(0) = (-1)² + 0
     F(0) = 1 + 0
     F(0) = 1

   - Menghitung F(-4):
     F(-4) = (3(-4) - 1)² + 2(-4)²
     F(-4) = (-12 - 1)² + 2(16)
     F(-4) = (-13)² + 32
     F(-4) = 169 + 32
     F(-4) = 201