Jika diberikan fungsi f(x)=x^2+x dan g(x)=2/(x+3), carilah:

a. 32/5, b. 28/5, c. 12/5

Pembahasan

Pembahasan:
Diketahui fungsi f(x) = x^2 + x dan g(x) = 2 / (x + 3).
Kita akan mencari:
a. (f+g)(2)
b. (f-g)(2)
c. (f x g)(2)

a. (f+g)(2) berarti f(2) + g(2).
f(2) = 2^2 + 2 = 4 + 2 = 6.
g(2) = 2 / (2 + 3) = 2 / 5.
(f+g)(2) = 6 + 2/5 = 30/5 + 2/5 = 32/5.

b. (f-g)(2) berarti f(2) - g(2).
f(2) = 6.
g(2) = 2/5.
(f-g)(2) = 6 - 2/5 = 30/5 - 2/5 = 28/5.

c. (f x g)(2) berarti f(2) * g(2).
f(2) = 6.
g(2) = 2/5.
(f x g)(2) = 6 * 2/5 = 12/5.

Jawaban:
a. (f+g)(2) = 32/5
b. (f-g)(2) = 28/5
c. (f x g)(2) = 12/5