Jika f(x)=2x-5 dan g(x) =3x-1/x+5 Tentukan a. (fog) (x) B. Gof(f)

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Hy Caca ... :)

f(x) = 2x - 5
g(x) = (3x - 1)/(x + 5)

• (fog)(x)
f(g(x))
= 2(3x - 1)/(x + 5) - 5
= (2(3x - 1) - 5(x + 5)) / (x + 5)
= (x - 27) / (x + 5) ✔

• (gof)(x)
g(f(x))
= (3(2x - 5) - 1) / ((2x - 5) + 5)
= (6x - 16) / 2x
= 2(3x - 8) / 2x
= (3x - 8) / x ✔

f(x) = 2x - 5
g(x) = (3x-1)/(x+5)

fog(x) = f(g(x))
          = f((3x-1)/(x+5))
    = 2((3x-1)/(x+5)) - 5
    = (6x-2 / x+5) - (5x+25 / x+5)
   = (6x - 5x - 2 - 25) / (x + 5)
   = (x - 27) / (x + 5)

gof(x) = g(f(x))
          = g(2x - 5)
       = (3(2x - 5) - 1) / ((2x - 5) + 5)
       = (6x - 15 - 1) / (2x - 5 + 5)
       = (6x - 16) / 2x
       = 3x - 8 / x