Question

Quiz Edisi 3.800 Answer
f ( x ) = 4x² + 5x
g ( x ) = 4x + 6
( g o f ) ( x ) ?

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Answer 1

Jawab:
(gof)(x) = 2(4x+3)(2x+1)

Penjelasan:
Diketahui
--> f(x) = 4x²+5x
--> g(x) = 4x+6
Ditanya (gof)(x)

(gof)(x) = g(f(x))
(gof)(x) = 4(f(x))+6
(gof)(x) = 4(4x²+5x)+6
(gof)(x) = 4(4x²)+4(5x)+6
(gof)(x) = 16x²+20x+6

Bisa difaktorkan
(gof)(x) = 16x²+20x+6
(gof)(x) = 2((16÷2)x²+(20÷2)x+(6÷2))
(gof)(x) = 2(8x²+10x+3)
(gof)(x) = 2(x²+10x+3(8))
(gof)(x) = 2(x²+10x+24)
(gof)(x) = 2(x+6)(x+4)
Karena koefisien x² adalah 8, tambah 8
sebagai koefisien x
(gof)(x) = 2(8x+6)(8x+4)
Sederhanakan masing-masing suku dlm kurung
(gof)(x) = 2((8÷2)x+(6÷2))((8÷4)x+(4÷4))
(gof)(x) = 2(4x+3)(2x+1)

( xcvi )

Answer 2

SOAL 1

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f(x) = 4x² + 5x

g(x) = 4x + 6

(g o f) (x) =.....

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(g o f) (x) = g(f(x))

(g o f) (x) = 4(4x² + 5x) + 6

(g o f) (x) = 16x² + 20x + 6

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