Question

Jika f adalah fungsi linier, f(1)=2000, dan f(x+1)+12=f(x). maka nilai f(100)=

Answer 1

Fungsi linier = ax +b
f(1) = a(1) + b
a + b = 2.000

f(x+1) + 12 =f(x)
a(x+1) + b + 12 = ax + b
ax + a + b +12 = ax +b
a+ 12 = ax - ax +b - b
a+12 = 0
a = -12

a+b = 2000
-12 + b = 2000
b = 2012

f(x) = ax + b
f(x) = -12x + 2012
f(100) = -12(100) +2012
 = -1200 + 2012
 = 812