Matematika

Pertanyaan

dik : f(x) = 2x+3 per x+5
g(x)=3x+1
dit: b) (gof)^-1(x)
tolong dijawab dan dibantu ya makasih banyak ^^
dik : f(x) = 2x+3 per x+5 g(x)=3x+1 dit: b) (gof)^-1(x) tolong dijawab dan dibantu ya makasih banyak ^^

1 Jawaban

  • 3) dicari fog sama gof

    dulu ya

    fog = f(g(x)
    fog = (x-1)+2
    fog = x+1
    fogoh= (fog(h(x)
    = (2x)+1
    = 2x+1
    gof= g(f(x)
    gof = (x+2)-1
    gof = x+1
    gofoh= gof(h(x)
    = (2x)+1
    = 2x+1

    4)
    [tex] fx = \frac{2x + 3}{x + 5} [/tex]
    gx = 3x+1
    dit gof
    gof = g(f(x)
    [tex]gof = 3( \frac{2x + 3}{x + 5} ) + 1 \\ = \frac{6x + 10}{ x + 5} [/tex]