1. F(x) = 4x+5, g(x)= x² + 6x - 1 nilai (fogog) (0) =... 2. H(x) = x² + 4 dan G(x)= x-3 jika (H o G) (a)=8, maka a =... Tolong bantu jawab beserta penjelasan ca
Matematika
claura11
Pertanyaan
1. F(x) = 4x+5, g(x)= x² + 6x - 1 nilai (fogog) (0) =...
2. H(x) = x² + 4 dan G(x)= x-3 jika (H o G) (a)=8, maka a =...
Tolong bantu jawab beserta penjelasan cara pengerjaannya, trimakasih :)
2. H(x) = x² + 4 dan G(x)= x-3 jika (H o G) (a)=8, maka a =...
Tolong bantu jawab beserta penjelasan cara pengerjaannya, trimakasih :)
1 Jawaban
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1. Jawaban lisabela35
1. (fog)(x) = f(g(x))
= f(x² + 6x - 1)
= 4(x² + 6x - 1) + 5
= 4x² + 24x - 4 + 5
= 4x² + 24x + 1
(fogog)(x) = fog(g(x))
= fog (x² + 6x - 1)
= 4(x² + 6x - 1)² + 24(x² + 6x - 1) + 1
= 16x⁴ + 24x³ + 52x² - 12x + 1 + 24x² + 144x - 24 + 1
= 16x⁴ + 24x³ + 76x² + 132x - 22
(fogog)(0) = 16(0)⁴ + 24(0)³ + 76(0)² + 132(0) - 22
= - 22