Untuk nilai f(x)=x + 3 dan g(x)= x^2 carilah nilai berikut..!! A.(f+g)(2) B.(f.g)(0) C.(f/g)(3) D.(fog)(1) E.(gof)(1) F.(gof)(-8)
Matematika
eti32
Pertanyaan
Untuk nilai f(x)=x + 3 dan g(x)= x^2 carilah nilai berikut..!!
A.(f+g)(2)
B.(f.g)(0)
C.(f/g)(3)
D.(fog)(1)
E.(gof)(1)
F.(gof)(-8)
A.(f+g)(2)
B.(f.g)(0)
C.(f/g)(3)
D.(fog)(1)
E.(gof)(1)
F.(gof)(-8)
1 Jawaban
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1. Jawaban yourvin
a) (f+g)(x) = f(x)+g(x)
= x + 3 + x²
= x²+x+3
maka (f+g)(2) = (2)²+2+3 = 9
b) (f.g)(0) = f(x).g(x)
= (x+3)x²
= x³+3x²
maka (f.g)(0) = (0)³+3(0)² = 0
c) (f/g)(x) = f(x)/g(x)
= x+3/x²
maka, (f/g)(3) = 3+3/3² = 2/3
d) (fog)(x) = f(g(x)) = (x²)+3 = x²+3
maka, (fog)(1) = (1)³+3 = 4
e) (gof)(x) = g(f(x)) = (x+3)² = x²+6x+9
maka, (gof)(1) = (1)²+6(1)+9 = 16
f) (gof)(-8) = (-8)²+6(-8)+9 = 25