1.Diketahui f(x) = x + 3 dan g(x) = (x+1)/(x-1), x ≠2 maka (fog)(x) adalah... 2.Jika F: R→R dan g:R→R yang ditentukan oleh f(x) = x^2+2 dan g(x) = 2x-1 , maka {

langsung aja yy

1.
(fog)(x) = f{g(x)}
= g(x) + 3
= (x+1)/(x-1) + 3
= x+1+3x-3 / x-1
= 4x - 2 / x-1

2.
(fog)(x) = f{g(x)} = g(x)² + 2
= (2x-1)² + 2
= 4x²-4x+1+2
= 4x² - 4x + 3

(gof)(x) = g{f(x)} = 2f(x) - 1
= 2(x²+2) - 1
= 2x² + 4 - 1
= 2x² + 3

maka
(fog)(x) - (gof)(x)
=(4x²-4x+3) - (2x²+3)
= 4x² - 2x² - 4x + 3 - 3
= 2x² - 4x

3.
A.
(fog)(x) = f{g(x)}
= 2g(x)
= 2(x²-1)
= 2x² - 2

B.
(gof)(x) = g{f(x)
=f(x)²-1
= 2x² - 1

C.
(foh)(x) = f{h(x)}
= 2h(x)
= 2(2^x)
= 4^x

D.
(hof)(x) = h{f(x)}
= 2^f(x)
= 2^2x

E.
(hog)(x) = h{g(x)}
= 2^g(x)
= 2^x2-1

semoga berguna +_+