f(x)= 3x-5 g(x)= x kuadrat+2x-5 tentukan (fog) (x)

[tex]f(x) = 3x - 5 \\ g(x) = {x}^{2} + 2x - 5 \\ (f \: o \: g )(x) = ... \\ \\ \\ (f \: o \: g)(x) = f(g(x)) \\ = f({x}^{2} + 2x - 5) \\ = 3 \times ( {x}^{2} + 2x - 5) - 5 \\ = 3{x}^{2} + 6x - 15 - 5 \\ = 3 {x}^{2} + 6x - 20 \\ \\ jadi \: nilai \: dari \: (f \: o \: g)(x) = 3 {x}^{2} + 6x - 20[/tex]