Diketahui f(x) = x2 + 2x + 5 dan (f + g)(x) = 2x2 – x + 3. Tentukan:
a. g(x)
b. f(2) dan g(2)
c. (f + g)(2) dan (f – g)(2)
Jawab:
a. g(x) = (f + g)(x) – f(x)
= 2x2 – x + 3 – x2 – 2x – 5
= x2 – 3x – 2
b. f(2) = 22 + 2(2) + 5
= 4 + 4 + 5
f(2) = 13
g(2) = 22 – 3(2) – 2
= 4 – 6 – 2
g(2) = -4
c. (f + g)(2) = f(2) + g(2) = 13 – 4 = 9
(f – g)(2) = f(2) – g(2) = 13 – (-4) = 17
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