1. F(X)=2X-1 Dan G(X)= X²+3. Tentukan A. (Fᵒg)(X) …

Pertanyaan : 1. f(x)=2x-1 dan g(x)= x²+3. Tentukan a. (fᵒg)(x) b. (gᵒf)(x) 2. Diketahui fungsi g(x)= x-1 dan (f ° g)(x) = 4x-1. Tentukan f(x) ! 3. Diketahui fungsi f(x) = 3x-5 dan (fᵒg)(x) = 6x+4. Tentukan g(x) !​

Jawaban : NOMOR 1.(fog)(x) = f(g(x))(fog)(x) = f(x² + 3)(fog)(x) = 2(x² + 3) – 1(fog)(x) = 2x² + 6 – 1(fog)(x) = 2x² + 5(gof)(x) = g(f(x))(gof)(x) = g(2x – 1)(gof)(x) = (2x – 1)² + 3(gof)(x) = (4x² – 2x – 2x + 1) + 3(gof)(x) = (4x² – 4x + 1) + 3(gof)(x) = 4x² – 4x + 1 + 3(gof)(x) = 4x² – 4x + 4NOMOR 2.(fog)(x) = 4x – 1f(g(x)) = 4x – 1f(x – 1) = 4x – 1Misalkan, y = (x – 1) >>>>> x = (y + 1)f(y) = 4(y + 1) – 1f(y) = 4y + 4 – 1f(y) = 4y + 3Ubahlah kembali variabel y menjadi variabel x. Maka,f(x) = 4x + 3NOMOR 3.(fog)(x) = 6x + 4f(g(x)) = 6x + 43(g(x)) – 5 = 6x + 43(g(x)) = 6x + 4 – (-5)3(g(x)) = 6x + 4 + 53(g(x)) = 6x + 9g(x) = (6x + 9)/3g(x) = 2x + 3

Originally posted 2023-01-03 22:51:31.