Matematika

Pertanyaan

Diketahui f(x)=x+4 dan g(x)=-3X TENTUKAN a. (f ° g)(x) b. (f ° g)(2) c. (g ° f)(x) d. ( g°f)(-1)!

2 Jawaban

  • a. fog (x) = f(g(x))
    = f(-3x)
    = (-3x)+4
    = -3x+4

    b. fog (5) = -3(5)+4
    = -15+4
    = -11

    c. gof (x) = g(f(x))
    = g(x+4)
    = -3(x+4)
    = -3x-12

    d. gof (x) = h(x) = y
    y = -3x-12
    3x = y+12
    x = y+12/3
    gof (x)-¹ = x+12/3
  • a)(fog)(x)=f(gx)
                    = x+4
                    = -3x+4

    b)(fog)(2)=-3x+4
                   =  -3(2)+4
                  =-6+4
                  =-2
    c)(gof)(x)=g(fx)
                   =-3x
                   =-3(x)+4
                    =-3x+4
    d)(gof)(-1)=-3x+4
                    =-3(-1)+4
                    =3+4
                    =7





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