Diketahui auatau fungsi dengan rumus f(x)=ax+b dengan f(1)=-2dan f(4)=19,maka nilai dari f(-2)=...
Matematika
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Pertanyaan
Diketahui auatau fungsi dengan rumus f(x)=ax+b dengan f(1)=-2dan f(4)=19,maka nilai dari f(-2)=...
2 Jawaban
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1. Jawaban RadyaPratiwi
f(1) = a(1) + b
-2 = a + b
f(4) = a(4) + b
19 = 4a + b
a + b = -2
4a + b = 19
---------------- (-)
-3a = -21
a = 7
a + b = -2
7 + b = -2
b = -9
f(-2) = a(-2) + b = 7(-2) + (-9) = -14 + (-9) = -23 -
2. Jawaban AlfandyGulo
Mapel : Matematika
Kelas : 10
Bab : Relasi dan Fungsi
=============================
f(x) = ax + b
→ f(1) = -2
→ f(4) = 19
Ditanya → f(-2)
Jawaban :
=========
→ f(1) = a + b = -2
→ f(4) = 4a + b = 19
.................................... -
-3a = -21
a = 21/3
a = 7 ✔
→ a + b = -2
→ 7 + b = -2
→ b = -2 - 7
→ b = -9
Maka,
f(-2) = 7(-2) + (-9)
f(-2) = -14 - 9
f(-2) = -23