Question

E3 punctul a poza e sus

Answer 1

f○g = f(g(x)) = 6g(x) - 5 = 6(1/6x + 5/6) =
x+5
g○f = g(f(x)) = 1/6 f(x) + 5/6 = 1/6(6x-5) +5/6 = x -5/6 +5/6 = x
f○f = f(f(x)) = 6f(x) - 5 = 6(6x-5) - 5 = 36x-30-5 = 36x-35
g○g = g(g(x)) = 1/6g(x) + 5/6 = 1/6(1/6x + 5/6) + 5/6 = 1/36x + 5/36 + 5/6 = 1/36x + 35/36

Answer 2

a) f(x)=6x-5

g(x)=(1/6)x+5/6=(x+5)/6

fog = f(g(x)) = 6g(x) - 5 = 6(1/6x + 5/6) = x+5

gof = [6 x- 5) + 5]/6 = 6x/6 = x

fof=6(6x-5)-5=36x-30-5=36x-35

gog=[(x+5/6)+5]:6=[x+5+30)/6 ]: 6=(x+35)/36