f(x) = 3x + 5 dan g(x) =2x/ (x +1) , Tentukan nilai (fog)(1) dan (gof)(1)!
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fungsi komposisi
fog(x) = f{g(x)}
gof(x) = g{f(x)}
Penjelasan dengan langkah-langkah:
f(x) = 3x + 5
[tex]\sf g(x)= \dfrac{2x}{x+1}[/tex]
tentukan (fog)(1) dan (gof)(1)
a) nilai fog(1) = f { g(1)}
cari g(1) = 2(1)/(1 + 1) = 2/2= 1
[tex]\sf fog(1) = f(1)[/tex]
[tex]\sf fog(1) = 3 .(1) + 5= 8[/tex]
b) nilai gof(1) = g{f(1)}
cari f(1) = 3(1) + 5= 8
[tex]\sf gof(1) = g(8)[/tex]
[tex]\sf gof(1) = \dfrac{2(8)}{8+1}= \dfrac{16}{9}[/tex]
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