Jika

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f (x) = 2x - 1
dan
g(x) = 2x {  }^{2}  + 3x - 2
maka
(gof) (x)

Jika

Jawab:

Penjelasan dengan langkah-langkah:

komposisi fungsi

(gof)(x) =  g{ f(x)}

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soal

f(x) = 2x – 1

g(x) = 2x² + 3x – 2

gof(x)=  g{f(x)}

= 2. f²(x) + 3. f(x) – 2

= 2 (2x-1)² + 3(2x- 1) – 2

= 2 (4x² -4x +1) + 6x – 3 – 2

=  8x² -8x + 2  +  6x –  5

=  8x² – 2x – 3