Diketahui fungsi f=R→R dgn f(x) =x2-4x+2 dan fungsi g:R→R dgn g(x) =3x-7 tentukanlah a. G°f, b. F°g, c. G°f(5), d. (F°g) (10).

a.
g o f (x) = g(f(x)) = 3(x² - 4x + 2) - 7
g o f (x) = 3x² - 12x -1

b.
f o g (x) = f(g(x)) = (3x-7)² + 4(3x-7) + 2
f o g (x) = 9x² - 42x + 49 + 12x - 28 + 2
f o g (x) = 9x² - 30x + 23

c.
g o f (5) = 3(5)² - 12(5) - 1
g o f (5) = 75 - 60 - 1
g o f (5) = 14

d.
f o g (10) = 9(10)² - 30(10) + 23
f o g (10) = 900 - 300 + 23
f o g (10) = 623