Diket; F(0)= -3 F(5)=7 tentukan: * Nilai a dan b * rumus fungsi F (x) * nilai F(-3)
Matematika
Junait
Pertanyaan
Diket;
F(0)= -3
F(5)=7
tentukan:
* Nilai a dan b
* rumus fungsi F (x)
* nilai F(-3)
F(0)= -3
F(5)=7
tentukan:
* Nilai a dan b
* rumus fungsi F (x)
* nilai F(-3)
1 Jawaban
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1. Jawaban algebralover
f(x) = ax + b
f(0) = -3 ⇒ a(0) + b = -3
b = -3
f(5) = 7 ⇒ a(5) + b = 7
5a + b = 7
Masukan nilai b ke persamaan di atas, menjadi :
5a + b = 7
5a + (-3) = 7
5a - 3 = 7
5a = 7 + 3
5a = 10
a = 10/5
a = 2
Jadi nilai a = 2 dan nilai b = -3
Rumus fungsi menjadi f(x) = ax + b
= 2x + (-3)
f(x) = 2x - 3
f(-3) = ?
f(x) = 2x - 3
f(-3) = 2(-3) - 3
f(-3) = -6 - 3
f(-3) = -9