Jika f(x) = x²+3x-2 dan g(x) = 2x+5. Jika (f • g)(-2) = ... ?
Matematika
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Pertanyaan
Jika f(x) = x²+3x-2 dan g(x) = 2x+5.
Jika (f • g)(-2) = ... ?
Jika (f • g)(-2) = ... ?
1 Jawaban
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1. Jawaban Anisazhf
f(x) = x^2 + 3x - 2
g(x) = 2x + 5
(f o g)(x)
= f (g(x))
= (g(x))^2 + 3(g(x)) - 2
= (2x + 5)^2 + 3(2x + 5) - 2
= 4x^2 + 20x + 25 + 6x + 15 - 2
= 4x^2 + 26x + 38
(f o g)(-2)
= 4(-2)^2 + 26(-2) + 38
= 4(4) + (-52) + 38
= 16 - 52 + 38
= 2