tolong jawab yaa dik:f(x)= x²-4x+2 g(x)= 3x-7 tentukan a) gof b)fog c)gof(5) d)(fog)(10)
Matematika
rrr50
Pertanyaan
tolong jawab yaa
dik:f(x)= x²-4x+2
g(x)= 3x-7
tentukan
a) gof
b)fog
c)gof(5)
d)(fog)(10)
dik:f(x)= x²-4x+2
g(x)= 3x-7
tentukan
a) gof
b)fog
c)gof(5)
d)(fog)(10)
1 Jawaban
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1. Jawaban AlfandyGulo
a. g o f (x)
= g(f(x))
= 3(x² - 4x + 2) - 7
= 3x² - 12x + 6 - 7
= 3x² - 12x - 1
b. f o g (x)
= f(g(x))
= f(3x - 7)
= (3x - 7)² - 4(3x - 7) + 2
= 6x² - 14x + 49 - 12x + 28 + 2
= 6x² - 26x + 79
c. g o f (5)
= 3(5)² - 12(5) - 1
= 75 - 60 - 1
= 14
d. f o g (10)
= 6(10)² - 26(10) + 79
= 600 - 260 + 79
= 419