f(x) =x³ +3 dan g(x) = 2x² tentukan nilai (f o g) (x) (g o f) (x)
Answer (1)
Penjelasan dengan langkah-langkah:[tex]f(x) = {x}^{3} + 3 \\ g(x) = {2x}^{2} \\ \\ (fog)(x) = f(g(x)) = {( {2x}^{2} )}^{3} + 3 = {8x}^{6} + 3 \\ \\ \\ (gof)(x) = g(f(x)) = 2 {( {x}^{3} + 3)}^{2} \\ = 2( {( {x}^{3}) }^{2} + 2( {x}^{3} \times 3) + {3}^{2} ) \\ = 2( {x}^{6} + 6 {x}^{3} + 9) \\ = 2 {x}^{6} + 12 {x}^{3} + 18[/tex]
