Matematika

Pertanyaan

tolong dijawab soal nya
tolong  dijawab soal nya

1 Jawaban

  • f(x) = 2x^2 +3x , g(x) = 4x - 5
    a) (f o g) (x) = f { g (x) }
    = f (4x -5)
    = 2(4x-5)^2 +3(4x -5)
    = 2(16x^2 -40x +25)+ 12x -15
    = 32x^2 -80x +50 +12x -15
    = 32x^2-68x +35
    Jadi ( f o g )(x) = 32x^2-68x +35
    b) ( g o f)(x) = g { f (x) }
    = g (2x^2+3x)
    = 4(2x^2+3x) -5
    = 8x^2+12x -5
    Jadi ( g o f ) (x) = 8x^2+12x -5