Question

Suatu fungsi d tentukan dng rumus F (-2) ax + b jka d ktahui F (-2)=7 dan F (3) =-3 tentukan nilai a dan b !

Answer 1

F(x) = ax+b
f(-2) = -2a+b = 7
f(3) = 3a+b = -3
__________ -
-5a = 10
a = 10/-5
a = -2 -------> 3a+b = -3
3.(-2)+b = -3
-6+b = -3
b = -3+6
b = 3


jadi, nilai a = -2 , dan b = 3

Answer 2

F(x) = ax+b
f(-2) = ax+b
   7  = -2a+b ...(1)
f(3)  = ax+b
  -3  = 3a+b ....(2)

#eliminasi (1) dan (2)
-2a+b=7
 3a+b=-3     -
   -5a=10
      a=-2
#substitusi a = -2 ke (2)
 3a+b = -3
3(-2)+b=-3
- 6 + b = -3
       b = -3+6
       b = 3
maka , a = -2 , b = 3