Diketahui fungsi g(x) = x+1 & fungsi h(x) = 2x² – 4x + 3, maka tentukan nilai x yg memenuhi (goh)(x) = (hog)(x)!
Matematika
AmoraAntonioPangestu
Pertanyaan
Diketahui fungsi g(x) = x+1 & fungsi h(x) = 2x² – 4x + 3, maka tentukan nilai x yg memenuhi (goh)(x) = (hog)(x)!
2 Jawaban
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1. Jawaban whongaliem
g (x) = x + 1 dan h (x) = 2x² - 4x + 3
(goh) (x) = (hog)(x)
g (h(x)) = h (g (x))
g (2x² - 4x + 3) = h (x + 1)
2x² - 4x + 3 + 1 = 2 (x + 1)² - 4(x + 1) + 3
2x² - 4x + 4 = 2 (x² + 2x + 1) - 4x - 4 + 3
2x² - 4x + 4 = 2x² + 4x + 2 - 4x - 1
2x² - 4x + 4 = 2x² + 1
- 4x = 2x² - 2x² + 1 - 4
- 4x = - 3
x = - 3 / - 4
x = 3/4 -
2. Jawaban siti3makrufah
(goh)(x) = (hog)(x)
(2x^2-4x+3)+1=2(x+1)^2-4(x+1)+3
2x^2-4x+4 =2x^2+4x+2 -4x-4+3
-4x=2-4-4+3
x=3/4