Question

Fungsi f ditentukan oleh f(x) = ax + b jika f (2) = 12 dan f (-3) = -23
a nilai a dan b
b rumus fungsi tersebut

Answer 1

F(x) = ax + b

f(2) = 2a + b = 12
f(-3) = -3a + b = -23
___________________ - (eliminasi)
5a = 35
a = 35/5 = 7

2(7) + b = 12
14 + b = 12
b = 13 - 14 = -2

a) a = 7 dan b = -2
b) rumus fungsi: f(x) = 7x - 2

Answer 2

F(x) = ax + b
f(2) = 2a + b = 12
f(-3) = -3a +b = -23
eliminasi pers. diatas, :
5a = 35
a = 7
substitusi:
2a + b = 12
2(7) + b = 12
b = 12 - 14
b = -2.
Rumus Fungsi = 7x - 2