Matematika Diketahui f (x) = x^2 + 2x + 5 dan (f + g) (x) = 2x^2 - x + 3. Tentukan : a. g(x) b. f(2) dan g(2) c. (f + g)(2) dan (f - g)(2)

annetterohanulv – June 05, 2023

Diketahui f (x) = x^2 + 2x + 5 dan (f + g) (x) = 2x^2 - x + 3. Tentukan :

a. g(x)
b. f(2) dan g(2)
c. (f + g)(2) dan (f - g)(2)

f(x) = (x² + 2x + 5)

(f + g)(x) = (2x² - x + 3)

(f + g)(x) = f(x) + g(x)

(2x² - x + 3) = (x² + 2x + 5) + g(x)

g(x) = (2x² - x + 3) - (x² + 2x + 5)

g(x) = 2x² - x + 3 - x² - 2x - 5

g(x) = 2x² - x² - x - 2x + 3 - 5

g(x) = (x² - 3x - 2)

f(x) = (x² + 2x + 5)

f(2) = ((2)² + 2•2 + 5)

f(2) = (4 + 4 + 5)

f(2) = 13

g(x) = (x² - 3x - 2)

g(2) = ((2)² - 3•2 - 2)

g(2) = (4 - 6 - 2)

g(2) = (-4)

(f + g)(2) = f(2) + g(2)

(f + g)(2) = 13 + (-4)

(f + g)(2) = 9

(f - g)(2) = f(2) - g(2)

(f - g)(2) = 13 - (-4)

(f - g)(2) = 17

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