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Matematika
citra538
Pertanyaan
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1 Jawaban
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1. Jawaban ahreumlim
1. f(x) = x² - cx
(*) a = 3 ; b = 5 ; c = 4
maka
f(a) = a² - c(a)
f(a) = a (a - c)
f(3) = 3² - 4(3)
f(3) = 9 - 12
f(3) = -3
f(b) = b² - c(b)
f(b) = b(b - c)
f(5) = 5² - 4(5)
f(5) = 25 - 20
f(5) = 5
(**) a = 3 ; b = 4 ; c = 9
maka
f(a) = a² - c(a)
f(a) = a (a - c)
f(3) = 3² - 9(3)
f(3) = 9 - 27
f(3) = -18
f(b) = b² - c(b)
f(b) = b(b - c)
f(4) = 4² - 9(4)
f(4) = 16 - 36
f(4) = -20
2. f(x) = x² - c
g(x) = b/(x+1)
genap (*) a = 3 ; b = 5 ; c = 4
a. (f/g)(x) = f(x) / g(x)
= x² - c / (b/(x+1))
= (x² - c)(x+1) / b
= (x² - 4)(x+1) / 5
= (x³ + x² - 4x - 4) / 5
b. gof (x) = g(f(x))
= g(x² - c)
= b / (x² - c + 1)
= 5 / (x² - 3)
ganjil (**) a = 3 ; b = 4 ; c = 9
a. (f×g)(x) = f(x) × g(x)
= b(x² - c) / (x+1)
= 4(x² - 9) / (x+1)
b. fog (x) = f(g(x))
= f(b/(x+1))
= [b² / (x+1)² ] - c
= [4² / (x+1)² ] - 9
= [25 / (x+1)² ] - 9