fungsi f(x)=px-2 dan g(x)=4x+1, jika hasil (fog)(4)=32 maka tentukanlah : a.) nilai p b.) (gof)(x) c.) (fog)(2)
Matematika
shandraisti
Pertanyaan
fungsi f(x)=px-2 dan g(x)=4x+1, jika hasil (fog)(4)=32 maka tentukanlah : a.) nilai p b.) (gof)(x) c.) (fog)(2)
1 Jawaban
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1. Jawaban Anonyme
f(x)= px - 2
g(x)= 4x + 1
fog(4)= 32
f{g(4)} = 32
f(4*4 +1) = 32
f(17) = 32
17p - 2 = 32
17p= 34
p= 2
f(x) = 2x - 2
gof(x) = g {2x-2) = 4(2x-2) + 1
gof(x) = 8x - 7
fog(2) = f{g(2)} = f(4*2 +1) = f(9) = 2(9) - 2 = 16