Question

dadas as funções f(x) = 4x + 2 e f(g(x)) = 12x - 2 , determine g(x).

Answer 1

f(x) = 4x + 2

f(g(x)) = 12x - 2 = 4.(g(x)) + 2

12x - 2 = 4.(g(x)) + 2

6x - 1 = 2.(g(x)) + 1

2.(g(x)) = 6x -1 - 1

2.(g(x)) = 6x - 2

g(x) = (6x - 2)/2

g(x) = 3x - 1