jika f(x) = 1/2x^ dan G(x) = (2x+3) tentukan foG(4) , GoF(3), Gof(x+2) , fog(1/4)
Matematika
yano27
Pertanyaan
jika f(x) = 1/2x^ dan G(x) = (2x+3) tentukan foG(4) , GoF(3), Gof(x+2) , fog(1/4)
1 Jawaban
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1. Jawaban Anonyme
f(x) = 1/2 x²
g(x) = 2x + 3
f(g(4))
= 1/2 (2.4 + 3)²
= 1/2 . 11²
= 121/2 ✔
g(f(3))
= 2(1/2 . 3²) + 3
= 9 + 3
= 12 ✔
g(f(x + 2))
= 2(1/2 (x + 2)²) + 3
= (x + 2)² + 3
= x² + 4x + 7 ✔
f(g(1/4))
= 1/2 (2.1/4 + 3)²
= 1/2 . 49/4
= 49/8 ✔