Suatu fungsi linear didefinisikan dengan f(x) = ax-b . jika pada fungsi tersebut diketahui f(-2) = -8 dang f(5) = 13. tentukan nilai a dan b
Matematika
mtkmaster
Pertanyaan
Suatu fungsi linear didefinisikan dengan f(x) = ax-b . jika pada fungsi tersebut diketahui f(-2) = -8 dang f(5) = 13. tentukan nilai a dan b
1 Jawaban
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1. Jawaban annisajasmine24
1. f(-2) = ax-b = -8
= a.-2 -b = -8
= -2a -b = -8
f(5) = ax-b = 13
= a.5 -b = 13
= 5a -b = 13
2. 5a -b = 13
-2a -b = -8
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7a = 21
a = 3
3. -2a -b = -8
-2.3 -b = -8
-6 -b = -8
-b = -8+6
-b = -2
Jadi, nilai a dan b : a = 3 , b = -2 , ax-b = 3x-2
Bukti =
f(-2) = 3x-2
= 3.-2 -2
= -6 -2
= -8