F(x) = ax + b F(1) = -1 F(3) = 5 Tentukan f (x) ?
Matematika
irma123
Pertanyaan
F(x) = ax + b
F(1) = -1
F(3) = 5
Tentukan f (x) ?
F(1) = -1
F(3) = 5
Tentukan f (x) ?
2 Jawaban
-
1. Jawaban Auzano
f(x) = ax+b
f(1)= a(1)+b
-1 = a + b
f(3) = a(3) + b
5 = 3a+b
3a+b=5
a+b=-1
________-
2a = 6
a= 3
3+b=-1
b= -4
f(x) = 3x - 4 -
2. Jawaban yatihurriyati
f(x) = ax + b
f(1) = a(1) + b
=> a + b = -1................(persamaan 1)
f(3) = a(3) + b
=> 3a + b = 5................ (persamaan 2)
=> a + b = -1
3a + b = 5 _
-2a = -6
a = -6/-2 = 3
Substitusi nilai a ke persamaan 1
a + b = -1
3 + b = -1
b = -1 - 3
= -4
f(x) = ax + b
jadi, f(x) = 3x - 4
Semoga bermanfaat ^_^