Question

Dadas f(×) =2x-3 e g(x) = 3x+2, obtenha :

a) (f○g) ( x)
b) (g○f) (x)
c) (f○f) (x)
d) (g○g) (x)

Answer 1

a) fog (x) = f(g(x)) = f(3x + 2) = 2(3x + 2) - 3 = 6x + 4 - 3 = 6x + 1

b) gof (x) = g(f(x)) = g(2x - 3) = 3(2x - 3) + 2 = 6x - 9 + 2 = 6x - 7

c) fof (x) = f(f(x)) = f(2x - 3) = 2(2x - 3) - 3 = 4x - 6 - 3 = 4x - 9

d) gog (x) = g(g(x)) = g(3x + 2) = 3(3x + 2) + 2 = 9x + 6 + 2 = 9x + 8