Fungsi f ditentukan olehf(x) = ax + b. jikaf(-3) = -15 dan f(3) = 9, maka nilai f(-2)+ f(2) adalah….
Jawaban:
-6
Penjelasan:
f(x) = ax + b
f(-3) = a(-3) + b
f(-3) = -3a + b
f(-3) = -15
-3a + b = -15
f(3) = a(3) + b
f(3) = 3a + b
f(3) = 9
3a + b = 9
eliminasi
-3a + b = -15
3a + b = 9
__________ –
-6a = -24
a = 4
substitusi
3a + b = 9
3(4) + b = 9
12 + b = 9
b = 9 – 12
b = -3
berarti,
f(x) = 4x – 3
nilai f(-2)
f(-2) = 4(-2) – 3
f(-2) = -8 – 3
f(-2) = -11
nilai f(2)
f(2) = 4(2) – 3
f(2) = 8 – 3
f(2) = 5
nilai f(-2) + f(2)
= -11 + 5
= -6