Diketahui (gof)(x) = 4x ^ 2 + 4x dan g(x) = x ^ 2 -1.Tentukanlah nilai f(x - 2)

Hallo Nayla, kakak bantu jawab ya ... Jawaban: f(x-2) = 2x-3 atau f(x-2) = -2x+3 Ingat kembali: (gof)(x) = g(f(x)) Sehingga (gof)(x) = 4x² + 4x g(f(x)) = 4x² + 4x f(x)² - 1 = 4x² + 4x f(x)² = 4x² + 4x + 1 f(x) = ±√(4x² + 4x + 1) substitusikan x = x-2 maka: f(x-2) = ±√(4(x-2)² + 4(x-2) + 1) -----> = ±√(4(x² - 4x + 4) + 4x - 8 +1) -----> = ±√(4x² - 16x + 16 + 4x - 7) -----> = ±√(4x² - 12x + 9) -----> = ±√(2x-3)(2x-3) -----> = ±√(2x-3)² -----> = ±(2x-3) diperoleh: f(x-2) = 2x -3 atau f(x-2) = -(2x-3) = -2x + 3 Jadi, f(x-2) = 2x-3 atau f(x-2) = -2x+3.