f (x)= 5x+3 g (x)= 2x^-x+1 tentukan a. fog(x) b. fog (2) c.gof (x) d. gof (-3)

Kelas: 11
Mapel: Matematika 
Kategori: Fungsi
Kata kunci: komposisi fungsi, invers fungsi
Kode: 12.2.6 (Kelas 11 Matematika Bab 6-Fungsi)

f(x)=5x+3
g(x)=2x²-x+1

a. (fog)(x)=f(g(x))
=f(2x²-x+1)
=5(2x²-x+1)+3
=10x²-5x+5+3
=10x²-5x+8

b. (fog)(2)=10(2)²-5(2)+8
=40-10+8
=38

c. (gof)(x)=g(f(x))
=g(5x+3)
=2(5x+3)²-(5x+3)+1
=2(10x²+30x+9)-5x-3+1
=20x²+60x+18-5x-2
=20x²+55x+16

d. (gof)(-3)=20(-3)²+55(-3)+16
=180-165+16
=31

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