semoga membantu dan bermanfaat :)
Penjelasan dengan langkah-langkah:
8. 2[g o g [x] ] = 2.g[g(x)]
2.(g[g(x)]) = 2.(2g(x) - 1)/(6g(x)+2)
= 2.1/2 . (2g(x) - 1)/(3g(x)+1)
2.(g[g(x)]) = (2g(x) - 1)/(3g(x)+1)
10. f(g(-4)) + 2 = g(f(2))
g(-4) = 3.(-4)+14 = 2
f(g(-4)) = f(2)
f(2) = 2²-2n
g(f(2)) = g(4-2n) = 3.(4-2n)+14
4-2n + 2 = 3(4-2n)+14
2 - 14 = 2(4-2n)
-12 = 2(4-2n)
-6 = 4-2n
-3 = 2-n
n = 5
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semoga membantu dan bermanfaat :)
Penjelasan dengan langkah-langkah:
8. 2[g o g [x] ] = 2.g[g(x)]
2.(g[g(x)]) = 2.(2g(x) - 1)/(6g(x)+2)
= 2.1/2 . (2g(x) - 1)/(3g(x)+1)
2.(g[g(x)]) = (2g(x) - 1)/(3g(x)+1)
10. f(g(-4)) + 2 = g(f(2))
g(-4) = 3.(-4)+14 = 2
f(g(-4)) = f(2)
f(2) = 2²-2n
g(f(2)) = g(4-2n) = 3.(4-2n)+14
4-2n + 2 = 3(4-2n)+14
2 - 14 = 2(4-2n)
-12 = 2(4-2n)
-6 = 4-2n
-3 = 2-n
n = 5