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Penjelasan dengan langkah-langkah:
1. f(g(x)) = 3x - 5
x + 3 = 3x - 5
g(x) = 3x - 5 - 3
g(x) = 3x - 8
2. (f o g)(x) = 2x^2 + 2x + 5
f(-3x + 4) = 2x^2 + 2x + 5
f(x) = 2(-x +4)/3^2 + 2(-x +4)/3 + 5
= 2(x^2 - 8x + 16)/9 + (-6x + 24)/9 + 45/9
= [2x^2 - 16x + 32 - 6x + 24 + 45]/9
= [2x^2 - 22x + 101]/9
3.
a. f(x) = (x - 1)^2/4 + (x - 1)/2
= (x^2 - 2x + 1 + 2x + 1)/4
= (x^2 + 2)/4
b. f(x) = 2(x - 3) - 4
= 2x - 10
4. g(x) = (6x - 20 - 5)/2
= 3x - 25/2
5. g(x) = (9x - 15 + 4)/3
= 3x - 11/3
