Diketahui F(X)=2X+5 dan g(x)=x-1/x+4. Jika (fog) (a)=5, maka nilai a=... A.-2 B.1 C.-1 D.2 E.0
Matematika
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Pertanyaan
Diketahui F(X)=2X+5 dan g(x)=x-1/x+4. Jika (fog) (a)=5, maka nilai a=... A.-2 B.1 C.-1 D.2 E.0
1 Jawaban
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1. Jawaban keruasriki
f(g(a)) = 5
f(a-1/a+4) = 5
2((a-1)/(a+4) + 5 = 5
(2a - 2)/(a + 4) = 5 - 5
(2a - 2)/(a + 4) = 0
2a - 2 = 0 × (a + 4)
2a - 2 = 0
2a = 2
a = 2/2
a = 1