Question

Matematika soal fungsi tolong dibantu pakai cara

Answer 1

Jawab :
f(x) = ax² + bx + c
f(x) ≥ 0 untuk semua bilangan real --> maka D < 0
D = b² - 4ac
b² - 4ac < 0 
b² < 4ac .... (1)

f(1) = a + b + c
0 = a + b + c ....(2)

f(2) = 4a + 2b + c
2 = 4a + 3b + c ..... (3)

f(4) = 12a + 4b + c ..... (4)
18 = 12a +4b + c
f(0) = c (maka cari nilai c)
>> f(0) = 2
f(1) = 0
f(2) = 2
f(x) = a(x-1)²
maka f(0) + f(4) = 2 + 18 = 20 (B)