Diketahui
F(x)=X²+2x
G(x)=2x-1
H(x)=5+3x
Tentukan:
a.fog(x)
b.foh(x)
c.goh(x)
d.gof(x)
e.hof(x)
f.hog(x)
F(x)=X²+2x
G(x)=2x-1
H(x)=5+3x
Tentukan:
a.fog(x)
b.foh(x)
c.goh(x)
d.gof(x)
e.hof(x)
f.hog(x)
Jawaban:
a. fog (x) = f(g(x))
= f(2x-1)
= (2x-1)²+2(2x-1)
= 4x²-4x+1+4x-2
= 4x²-1
b. foh(x) = f(h(x))
= f(5+3x)
= (5+3x)²+2(5+3x)
= 25+30x+9x²+10+6x
= 9x²+36x+35
c. Goh(x) = g(h(x))
= g(5+3x)
= 2(5+3x)-1
= 10+6x-1
= 6x+9
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