Penjelasan dengan langkah-langkah:
Bagian a
[tex] \sf (f + g)(x) = f(x) + g(x)[/tex]
[tex]\sf (f + g)(x) = x - 6 + {x}^{2} - 4x - 12[/tex]
[tex]\sf (f + g)(x) = {x}^{2} - 4x + x - 12 - 6[/tex]
[tex]\sf (f + g)(x) = {x}^{2} - 3x - 6[/tex]
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Bagian b
[tex] \sf (f - g)(x) = f(x) - g(x)[/tex]
[tex] \sf (f - g)(x) = x - 6 - ( {x}^{2} - 4x - 12)[/tex]
[tex]\sf (f - g)(x) = x - 6 - {x}^{2} + 4x + 12[/tex]
[tex]\sf (f - g)(x) = - {x}^{2} + 4x + x + 12 - 6[/tex]
[tex]\sf (f - g)(x) = - {x}^{2} + 5x + 6[/tex]
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Bagian C
[tex] \sf (f \times g)(x) = f(x) \: . \: g(x)[/tex]
[tex]\sf (f \times g)(x) = (x - 6) \: . \: ( {x}^{2} - 4x - 12)[/tex]
[tex]\sf (f \times g)(x) = {x}^{(2 + 1)} - 4 {x}^{2} - 12x - 6 {x}^{2} + 24x + 72 [/tex]
[tex]\sf (f \times g)(x) = {x}^{3} - 4 {x}^{2} - 6 {x}^{2} - 12x + 24x + 72 [/tex]
[tex]\sf (f \times g)(x) = {x}^{3} - 10 {x}^{2} + 12x + 72 [/tex]
[answer.2.content]
