Suatu fungsi dengan rumus f(x) = ax + b. Jika f(4) = 5 dan f(-2) = -7
Matematika
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Pertanyaan
Suatu fungsi dengan rumus f(x) = ax + b. Jika f(4) = 5 dan f(-2) = -7
2 Jawaban
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1. Jawaban fitkhyaulia
Dik: f(x)= ax+b
f(4)= 4a+b = 5
f(-2)= -2a+b = -7
》 6a = 12
》 a = 2
》 4a+b = 5
》 4(2)+b = 5
》 8+b = 5
》 b= 5-8 = -3
Jd rumus fungsinya
》 f(x) = ax+b
》 f(x) = 2x-3 -
2. Jawaban Dachi17
f(x) = ax + b
f(4) = a(4) + b = 5
4a + b = 5
b = 5 - 4a
f(-2) = a(-2) + b = -7
-2a + b = -7
2a - b = 7
2a - (5 - 4a) = 7
2a - 5 + 4a = 7
6a = 7+5 = 12
a = 2
b = 5 - 4a
b = 5 - 4(2) = 5 - 8
b = -3
Jadi,
f(x) = 2x - 3