Jawab:Diketahui:f(x) = 4x-1, g(x) = x²-2x+5, h(x) = 3x
(1.) (f+g)(x) = (g+f)(x) komutatiff(x) + g(x) = g(x) + f(x)4x-1 + x²-2x+5 = x²-2x+5 + 4x-1x² + 4x-2x + 5-1 = x² + 4x-2x + 5-1x² + 2x + 4 = x² + 2x + 4
(2) ((f+g)+h)(x) = (f+(g+h))(x) asosiatif(f(x)+g(x))+h(x) = f(x)+(g(x)+h(x))(4x-1 + x²-2x+5) + 3x = 4x-1 + (x²-2x+5 + 3x)(x² + 2x + 4) + 3x = 4x-1 + (x²+ 3x-2x +5)(x² + 2x + 4) + 3x = 4x-1 + (x² + x +5)x² + 2x + 3x + 4 = x² + x+4x + 5-1x² + (2+3)x + 4 = x² + (1+4)x + (5-1)x² + 5x + 4 = x² + 5x + 4
(xcvi)
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Jawab:
Diketahui:
f(x) = 4x-1, g(x) = x²-2x+5, h(x) = 3x
(1.) (f+g)(x) = (g+f)(x) komutatif
f(x) + g(x) = g(x) + f(x)
4x-1 + x²-2x+5 = x²-2x+5 + 4x-1
x² + 4x-2x + 5-1 = x² + 4x-2x + 5-1
x² + 2x + 4 = x² + 2x + 4
(2) ((f+g)+h)(x) = (f+(g+h))(x) asosiatif
(f(x)+g(x))+h(x) = f(x)+(g(x)+h(x))
(4x-1 + x²-2x+5) + 3x = 4x-1 + (x²-2x+5 + 3x)
(x² + 2x + 4) + 3x = 4x-1 + (x²+ 3x-2x +5)
(x² + 2x + 4) + 3x = 4x-1 + (x² + x +5)
x² + 2x + 3x + 4 = x² + x+4x + 5-1
x² + (2+3)x + 4 = x² + (1+4)x + (5-1)
x² + 5x + 4 = x² + 5x + 4
(xcvi)