jika f(x)= (2x + 5), g(x)= x-1 / x+4 dan ( f o g) (p) = 5, maka nilai p sama dengan??
Matematika
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Pertanyaan
jika f(x)= (2x + 5), g(x)= x-1 / x+4 dan ( f o g) (p) = 5, maka nilai p sama dengan??
1 Jawaban
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1. Jawaban wahyuhutabarat19
F(x) = (2x+5)
g(x) = x-1/x+4
(fog)(p) = f(g(x)) = 5
= 2((x-1)/x+4)+5 = 5
= (2x-2)/(x+4)+5 = 5
= 2x-2+5(x+4) /x+4 = 5
= 2x-2+5x+20 / x+4 = 5
= 7x + 18 / x + 4 = 5
= 7x+18 = 5(x+4)
= 7x + 18 = 5x + 20
= 7x - 5x = 20 - 18
= 2x = 2
= x = 2/2
= x = 1
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