mohon bantuannya sekali kak
Matematika
saputri28
Pertanyaan
mohon bantuannya sekali kak
1 Jawaban
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1. Jawaban Anonyme
jawab
1. f(x) = x + 2
g(x) =2/(3x -6)
(f+g)(x) = f(x) + g(x)
= x + 2 + 2/(3x -6)
= {x(3x-6) + 2(3x-6) + 2}/(3x -6)
= { x² -6x + 6x -12 + 2 } /(3x -6)
= (x² -10)/(3x - 6)
2. f(x) = 2x -2
g(x)= x² -1
gof(2) = g { f(2) }
= g { 2(2) - 2 }
= g(2)
= 2² -1
= 3
3. fog(x) = f { g(x)}
= f {x² - 1 }}
= 2(x² -1 ) - 2
= 2x² -2 - 2
= 2x² - 4
4. g(x)= x² + x +2
fog(x) = 2x² + 2x + 5
f{g(x)} = 2x² + 2x + 5
f (x² + x + 2) = 2x² + 2x + 5
f (x² + x+ 2) = 2 (x²+x + 2) + 1
f(x) = 2x + 1
5. f(x )= x+ 2
fog(x) = 3x - 5
f{g(x)} = 3x - 5
g(x) + 2 = 3x - 5
g(x) = 3x - 5 - 2
g(x) = 3x - 7