Diketahui fungsi f: R → R, g: R → R, dan h: R → R dengan f(x) = x² - 2x - 3, g(x) = 1 - x, h(x) = x + 3. Tentukan x jika: (f o g o h) (x) = 12
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Jawaban:
x1 = -7
x2 = 1
Penjelasan dengan langkah-langkah:
(fogoh)(x) = 12
(1 - (x + 3))² - 2(1 - (x + 3)) - 3 = 12
(-x -2)² - 2(-x - 2) = 12 + 3
x²+ 2x + 2x + 4 + 2x + 4 = 15
x² + 6x + 8 = 15
x² + 6x + 8 - 15 = 0
x² + 6x - 7 = 0
(x + 7)(x - 1) = 0
x + 7 = 0 x - 1 = 0
x1 = -7. x2 = 1
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