diketahui f(x) = (2x + 5)² dan g(x) = -5x + 2. tentukan: ,a) (f.o.g)(x), B) (f.o.g)(-2), C) (g.o.f)(x), D) (g.o.f)(1)
Matematika
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Pertanyaan
diketahui f(x) = (2x + 5)² dan g(x) = -5x + 2. tentukan: ,a) (f.o.g)(x), B) (f.o.g)(-2), C) (g.o.f)(x), D) (g.o.f)(1)
1 Jawaban
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1. Jawaban sonya03
f(x)=(2x+5)²==>.f(x)=4x²+20x+25
g(x)=-5x+2
a.(fog)(x)=f[g(x)]
=f[-5x+2]
=4(-5x+2)²+20(-5x+2)+25
=4(25x²-20x+4)+20(-5X+2)+25
=100X²-80X+16-100X+40+25
=100x²-180x+81
b.(fog)(-2)=100(-2)²-180(-2)+81
=400+360+81
=841
c.(gof)(x)=g[f(x)]
=g[4x²+20x+25]
=-5(4x²+20x+25)+2
=-20x²-100x-125+2
=-20x²-100x-123
d.(gof)(1)=-20(1)²-100(1)-123
=-20-100-123
=-243