Jika diketahui f(x) + f(x+3) = 2x + 5 f(8)+f(2)=13, maka f(5)=? Pakai caranya plz
Matematika
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Pertanyaan
Jika diketahui f(x) + f(x+3) = 2x + 5
f(8)+f(2)=13, maka f(5)=?
Pakai caranya plz
f(8)+f(2)=13, maka f(5)=?
Pakai caranya plz
1 Jawaban
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1. Jawaban clonofo
jika f(x) + f(x+3) = 2x + 5
misal x = 2, maka x + 3 = 5
maka f(2) + f(5) = 2*2 + 5
f(2) + f(5) = 9 ... (i)
lalu
misal x = 5, maka x + 3 = 8
maka f(5) + f(8) = 2*5 + 5
f(5) + f(8) = 15 ... (ii)
eliminasi (i) dan (ii) didapat
f(2) + f(5) = 9
f(5) + f(8) = 15
===========( + )
f(2) + 2*f(5) + f(8) = 9+15
13 + 2f(5) = 24
2f(5) = 11
f(5) = 11/2 = 6,5 ✔️
semoga jelas dan membantu