Question

Sendo f(x) = 3x – 1 e f(g(x)) = 6x + 8, determine g(x).

Answer 1

Boa tarde Cadum

f(x) = 3x - 1
f(g(x)) = 6x + 8 

f(ax+b) = 3*(ax + b) - 1 = 6x + 8

3ax + 3b - 1 = 6x + 8

3a = 6,  a = 2

3b - 1 = 8
3b = 9, b = 3

g(x) = 2x + 3