Dik: f(x) : 2-x g(x) : 1+x^2 h(x) : 3x Dit : (h o g o f) (3)

(h•g•f)(x)
= h(g(f(x))))
= 3(g(f(x)))
= 3(1+(f(x)²))
= 3(1 + (2-x)²)
= 3(1 + (4 - 4x +x²)
= 3(x² - 4x + 5)

(h•g•f)(3) = 3(3² - 4.3 + 5)
= 3(9-12+5)
= 3(2)
= 6

[tex]f(x) = 2-x[/tex]
[tex]g(x) = 1 - x^{2} [/tex]
[tex]h(x) = 3x[/tex]

[tex]1. (g.f)(x) = 1-(2-x)^2 = 1- (4-4x+x^2) = 1 + 4 - 4x + x^2[/tex] [tex]= 5-4x+x^2[/tex]
[tex]2. (h.(g.f)(x))[tex]= 3(5-4x+x^2)[/tex]
[tex]3. (h.(g.f))(3) = 15-12 (3) + 3(3)^2 = 15-36+27 = 6[/tex]