Question

Diketahui fungsi f(x) = ax + b, dengan a dan b bilangan riil. Jika f(2) = 1 dan f(3) = 5, tentukan nilai a, b dan rumus fungsi f!

Answer 1

F (x) = ax + b

f (2) = 1
a(2) + b = 1
2a + b = 1

f (3) = 5
a(3) + b = 5
3a + b = 5

gunakan eliminasi

3a + b = 5
2a + b = 1 -
a = 4

2a + b = 1
2(4) + b = 1
8 + b = 1
b = 1 - 8
b = -7

f (x) = ax + b
f (x) = 4x - 7