Matematika [+50](3/3)ingat peraturan diquiz ini ga bole liat apk/web, kalo ga bsa gausah paksa jwb demi 50 point.soal:Diketahui f(x) = x² + 1 dan g(x) = 2x - 3, maka (f o g)(x) ​

delbertflatleyulv – June 05, 2023

[+50](3/3)
ingat peraturan diquiz ini ga bole liat apk/web, kalo ga bsa gausah paksa jwb demi 50 point.

soal:
Diketahui f(x) = x² + 1 dan g(x) = 2x - 3, maka (f o g)(x) ​

f(x) = x² + 1

g(x) = 2x - 3

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

(f o g)(x) = (2x - 3)² + 1

(f o g)(x) = (2x - 3)(2x - 3) + 1

(f o g)(x) = 2x(2x - 3) - 3(2x - 3) + 1

(f o g)(x) = 4x² - 6x - 6x + 9 + 1

(f o g)(x) = 4x² - 12x + 10

Fog (x) = f(g(x))

= f (2x-3)

= (2x-3)^2 + 1

= (2x-3)(2x-3)+1

= 4x^2-12x+10

[tex]\huge\bf{Koreksi}[/tex]

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