Jika g(x+2) = 2x-3, fog(x-2) = 4x2+8x+3 Tentukan f(-3)
Matematika
Tristin25
Pertanyaan
Jika g(x+2) = 2x-3, fog(x-2) = 4x2+8x+3
Tentukan f(-3)
Tentukan f(-3)
1 Jawaban
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1. Jawaban EdiHeaven
g(x) = 2(x-2)-3
= 2x-7
(fog) (x) = 4(x+2)²+8(x+2)+3
= 4(x²+4x+4)+8x+16+3
= 4x²+24x+35
(fog) (x) = 4x²+24x+35
f(2x-7)= 4x²+24x+35
misal t = 2x-7
2x = t+7
x= t+7 / 2
= -3 + 7 / 2
= 4/2
=2
f(2)= 4(2²)+24(2)+35
= 16+48+35
= 64+35
= 96
jadi hasilnya 96