Matematika

Pertanyaan

diketahui f(x+2)=4x-9 dan(gof) (x)=1/4x-16 xtidak sama dengan 4 tentukan rumus fungsi f, rumus fungsi g, dan rumus (fog) (x)

1 Jawaban

  • f(x+2) =4x-9
    f(x) = 4f'x - 9
    = 4(x-2)-9
    = 4x-17

    gof = 1/ 4x-16
    g(fx) = 1/ 4x-16
    g(4x-17) = 1/ 4x-16
    g(x) = 1/ 4g'x-16
    =1/ 4(x+17/4) - 16
    = 1/ x+17-16
    = 1/ x+1

    fog = f(gx)
    = f(1/ x+1)
    = 4gx-17
    = 4(1/ x+1) - 17
    = 4/x+1 - 17
    = 4-17x-17/ x+1
    = -17x-13 / x+1


Pertanyaan Lainnya