tolong di bantuin ya plus pake cara

f(x) = -x² + 1
g(x) = 2x -2

Ditanya
↪ (f o g) (x) - g o f(x)


Jawaban :
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➡(f o g) (x)

= f(2x - 2)
= -(2x - 2)² + 1
= -(4x² - 8x + 4) + 1
= -4x² + 8x - 4 + 1
= -4x² + 8x - 3

➡(g o f) (x)

= g(-x² + 1)
= 2(-x² + 1) - 2
= -2x² + 2 - 2
= -2x²


Maka,
= (f o g) (x) - (g o f)(x)
= -4x² + 8x - 3 - (-2x²)
= -2x² + 8x- 3


Jawaban A.