Question

al Dada as funções f(x) = 2*2 8x+2
g(x)=x+3, h(x). x. calcule.
a)fog
b)gof
c)gog
d)hog
e)fog​

Answer 1

f(x) =2x²+8x+2

g(x) =x+3

h(x) =x

a) fog(x)=f([g(x)]=2.g(x)²+8.g(x) +2

f[g(x)] =2(x+3)²+8.(x+3)+2

f[g(x)]=2(x²+6x+9)+8x+24+2

f[g(x)] =2x²+12x+18+8x+24+2

f[g(x)]=2x²+20x+44

b)gof(x) =g[f(x)] =f(x)+3=2x²+8x+2+3

g[f(x)] =2x²+8x+5

c)gog(x)=g[g(x)]=g(x)+3=x+3+3=x+6

d) hog(x) =h[g(x)] =g(x)=x+3

e) mesma coisa da letra a.