Question

Considere as funções reais f, g e h definidas por :
* f(x) = 2x + 1
* g(x)= 5x + 9
* h(x) = 6x²

Determine as leis que definem:
a) f o (g o h)

b) (f o g) o h

Answer 1

Resposta:

a) f o (g o h)

g(h(x)) = 5*6x² +9 =30x²+9

f(g(h(x)) ) = 2*(30x²+9) +1 =60x²+18+1 =60x²+19

b)

f(g(x)) =2*(5x+9) +1 =10x+18+1 =10x+19

f(g(x)) (h(x)) = 10*(6x²) +19 =60x²+19