Question

Jika f(x-1)=2x²-7x²+12x-15 maka f(x)=

Answer 1

Verified answer

F(x - 1) = 2x³ - 7x² + 12x - 15

Misal x - 1 = a maka x = a + 1

f(a) = 2(a + 1)³ - 7(a + 1)² + 12(a + 1) - 15
f(a) = 2 (a³ + 3a² + 3a + 1) - 7a² - 14a - 7 + 12a + 12 - 15
f(a) = 2a³ + 6a² + 6a + 2 - 7a² - 14a - 7 + 12a + 12 - 15
f(a) = 2a³ - a² + 4a - 8

f(x) = 2x³ - x² + 4a - 8