Diketahuin suatu fungsi f(x)=3x²-4 g(x) =3x-2 Tentukan : (fog) (x) (gof) (2) (fof)`¹(anggep -1 yaa ) (x)

langsung aja y

A.
(fog)(x) = f{g(x)}
= 3g(x)² - 4
= 3(3x-2)² - 4
= 3(9x²-12x+4) - 4
= 27x² - 36x + 12 - 4
= 27x² - 36x + 8

B.
(gof)(x) = g{f(x)}
= 3f(x) - 2
= 3(3x²-4) - 2
= 9x² - 12 - 2
= 9x² - 14
(gof)(2) = 9(2)² - 14 = 9(4) - 14 = 36-14 = 22

C.
fof`¹(x) = x
f{f`¹(x)} = x
3f`¹(x)² - 4 = x
3f`¹(x)²= x + 4
f`¹(x)² = (x+4) / 3
f`¹(x) = √ (x+4) / 3

semoga berguna +_+