diketahui (f o g o h)(x) = 4x2 +36x +54. Jika g(x) = 2x +1 dan h(x) = x+3, rumus fungsi f(x) =...?
Matematika
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Pertanyaan
diketahui (f o g o h)(x) = 4x2 +36x +54. Jika g(x) = 2x +1 dan h(x) = x+3, rumus fungsi f(x) =...?
2 Jawaban
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1. Jawaban keruasriki
f(g(h(x))) = 4x^2 + 36x + 54
f(g(x + 3)) = 4x^2 + 36x + 54
f(2(x + 3) + 1) = 4x^2 + 36x + 54
f(2x + 7) = 4x^2 + 36x + 54
f(2x + 7) = 4x^2 + 28x + 49 + 8x + 28 - 23
f(2x + 7) = (2x + 7)^2 + 4(2x + 7) - 23
f(x) = x^2 + 4x - 23 -
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