Question

Suatu fungsi dirumuskan f(x)= ax + b, f(3)= 16, dan f(2) = 13.Tentukan: a. nilai a^ + b^, b. rumus fungsi f(x), c. nilai f(-3)

Answer 1

F(x) = ax + b
f(3) = 16
f(2) = 13
16 = 3a + b
13 = 2a + b
3 = a

16 = 3(3) + b
b = 7

a. a^ + b^ = 3^ + 7^ = 58
b. rumus f(x)
= ax + b
f(x) = 3x + 7
c. f(-3) = 3(-3) + 7
= -9 + 7
= -2

Answer 2

F(x) = ax + b
f(3) = a(3) + b = 16
      = 3a + b = 16
f(2) = a(2) + b = 13
      = 2a + b = 13

3a + b = 16
2a + b = 13
---------------- -
a = 3

2a + b = 13
2(3) + b = 13
6 + b = 13
b = 13 - 6
b = 7

a) a² + b²
= 3² + 7²
= 58

b) f(x) = ax + b

c) f(3) = ax + b
           = (3)(3) + (7)
           = 9 + 7
           = 16