Diketahui f(x) = x²-x+3 fan g(x) = 2x+1, maka f[g(x)] =
Matematika
Natasaxx
Pertanyaan
Diketahui f(x) = x²-x+3 fan g(x) = 2x+1, maka f[g(x)] =
2 Jawaban
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1. Jawaban BlueAutumnAna
=> f(g(x))
=> f(2x + 1)
=> (2x + 1)² - (2x + 1) + 3
=> 4x² + 4x + 1 - 2x - 1 + 3
=> 4x² + 4x - 2x + 1 - 1 + 3
=> 4x² + 2x + 3 -
2. Jawaban RahmatDarmaraga
f(x) = x^2 - x + 3 g(x) = 2x+1
f(g(x)) = ?
f(2x+1) = (2x+1)^2 - (2x+1) + 3
= 4x^2 + 2(2x)(1) - 2x - 1 + 3
= 4x^2 + 4x - 2x + 2
= 4x^2 + 2x + 2. : 2
= 2x^2 + x + 1
Semoga membantuu;)