dik : f (×) = x pangkat 2 + 2 g(x) = ( x +2) pangkat 2 carilah : a) (fog) (2) b) (fof ) (-3) c) (gof) (-2) d) (gof) (4)
Matematika
jenn88
Pertanyaan
dik : f (×) = x pangkat 2 + 2
g(x) = ( x +2) pangkat 2
carilah :
a) (fog) (2)
b) (fof ) (-3)
c) (gof) (-2)
d) (gof) (4)
g(x) = ( x +2) pangkat 2
carilah :
a) (fog) (2)
b) (fof ) (-3)
c) (gof) (-2)
d) (gof) (4)
1 Jawaban
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1. Jawaban opangunnie
(fog)(x)=f((x+2)²)=((x+2)²)²+2
=(x+2)⁴+2
(gof)(x)=g(x²+2)=(x²+2+2)²=(x²+4)²
fof(x)=f(f(x))=f(x²+2)=(x²+2)²+2
A.f(g(2))=(2+2)⁴+2=256+2=258
B.f(f(-3))=((-3)²+2)²+2=121+2=123
C.g(f(-2))=((-2)²+4)²=64
D.g(f(4)) =(4²+4)²=400