Question

Sabendo que f(g(x)) = 3x - 7 e f (x) = x/3 - 2, descubra o g(x).

Answer 1

g(x) = x
g(x) /3 - 2 = 3x - 7
g(x) - 6 = 9x - 21
g(x) = 9x - 15

Answer 2

$f(x)=\frac{x}{3}-2\\f[g(x)]=\frac{g(x)}{3}-2\\\\3x-7=\frac{g(x)}{3}-2\\3x-7+2=\frac{g(x)}{3}\\3x-5=\frac{g(x)}{3}\\\\\boxed{g(x)=9x-15}$