Diketahui f(x) = 2x + 1 dan g(x) = x - 2. Tentukan: a. (f+g)(x) c. (fxg)(x) b. (f-g)(x) d. (f:g)(×)​

Halo Aila P, terima kasih sudah bertanya di Roboguru. Kakak bantu jawab ya :) Jawaban: a. (f+g)(x) = 3x - 1 b. (f-g)(x) = x + 3 c. (f×g)(x) = 2x²-3x-2 d. (f:g)(x) = 2 + 5/(x - 2) Ingat! (f+g)(x) = f(x)+g(x) (f-g)(x) = f(x)-g(x) (f×g)(x) = f(x)×g(x) (f:g)(x) = f(x):g(x) (a+b)(c+d)=ac+ad+bc+bd. Diketahui: f(x) = 2x + 1 dan g(x) = x - 2. Berdasarkan konsep di atas, maka diperoleh a. (f+g)(x) = f(x)+g(x) (f+g)(x) = 2x + 1 + x - 2 (f+g)(x) = 3x - 1 b. (f-g)(x) = f(x)-g(x) (f-g)(x) = (2x + 1) - (x - 2) (f-g)(x) = 2x + 1 - x +2 (f-g)(x) = x + 3 c. (f×g)(x) = f(x)×g(x) (f×g)(x) = (2x + 1) × (x - 2) (f×g)(x) = 2x.x +2x.(-2)+ 1.x+1.(-2) (f×g)(x) = 2x²-4x+x-2 (f×g)(x) = 2x²-3x-2 d. (f:g)(x) = f(x):g(x) (f:g)(x) = (2x + 1) (x - 2) (f:g)(x) = (2x - 4 + 5)/(x - 2) (f:g)(x) = (2x - 4)/(x - 2) + 5/(x - 2) (f:g)(x) = (2(x - 2)/(x - 2) + 5/(x - 2) (f:g)(x) = 2 + 5/(x - 2) Jadi, hasil dari a. (f+g)(x) = 3x - 1 b. (f-g)(x) = x + 3 c. (f×g)(x) = 2x²-3x-2 d. (f:g)(x) = 2 + 5/(x - 2) Semoga terbantu ya :)