diketahui f(x -2) = x² +3x dan g(x) =4x +1 rumus fungsi (f• g)(x)=

Mencari f(x) terlebih dahulu dengan invers
[tex]f(x) = x - 2 \\ \\ y = x - 2 \\ x = y + 2 \\ \\ {f}^{ - 1} (x) = x + 2 \\ \\ f(x) = {(x + 2)}^{2} + 3(x + 2) \\ f(x) = {x}^{2} + 4x + 4 + 3x + 6 \\ f(x) = {x}^{2} + 7x + 10[/tex]
(f • g)(x) = f(g(x))

[tex]f(g(x)) = {(4x + 1)}^{2} + 7(4x + 1) + 10 \\ f(g(x)) = {16x}^{2} + 8x + 1 + 28x + 7 + 10 \\ f(g(x)) = {16x}^{2} + 36x + 18[/tex]