Diketahui fungsi f(x) = 2x-1 dan fungsi g (x) = X2+7, tentukan a) (g0f) (x) b) (g0f) (3) c) (f0g) (x) d) (f0g) (1)
Matematika
bamung
Pertanyaan
Diketahui fungsi f(x) = 2x-1 dan fungsi g (x) = X2+7, tentukan
a) (g0f) (x)
b) (g0f) (3)
c) (f0g) (x)
d) (f0g) (1)
a) (g0f) (x)
b) (g0f) (3)
c) (f0g) (x)
d) (f0g) (1)
1 Jawaban
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1. Jawaban qwerty23456
a.(gof)(x)=g(f(x))=g(2x-1)=(2x-1)²+7=4x²-4x+1+7=4x²-4x+8
b.(gof)(3)=4(3)²-4(3)+8=36-12+8=32
c.(fog)(x)=f(g(x))=f(x²+7)=2(x²+7)-1=2x²+14-1=2x²+13
d.(fog)(1)=2(1)²+13=15