f(x)=x2-4x+2 g(x)=3x-7 tentukanlah gof,fog,gof(5),fog(10)
Matematika
maria411
Pertanyaan
f(x)=x2-4x+2 g(x)=3x-7 tentukanlah gof,fog,gof(5),fog(10)
1 Jawaban
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1. Jawaban algebralover
f(x) = x² - 4x + 2
g(x) = 3x - 7
(gof)(x) = (3 (x² - 4x + 2)) - 7
= 3x² - 12x + 6 - 7
= 3x² - 12x - 1
(fog)(x) = (3x-7)² - 4(3x - 7) + 2
= (9x² - 42x + 49) - 12x + 28 + 2
= 9x² - (42 + 12)x + (49 + 28 + 2)
= 9x² - 54x + 79
(gof)(5) = 3(5²) - 12(5) - 1
= 3(25) - 60 - 1
= 75 - 60 - 1
= 14
(fog)(10) = 9(10²) - 54(10) + 79
= 9(100) - 540 + 79
= 900 - 540 + 79
= 281