Question

Dadas as funções f (x )=3x+4 e f [ g( x)]=x−5 , determine g(x).

Answer 1

$f(x)=3x+4 \\ f[g(x)]=3*g(x)+4 \\ f[g(x)]=x-5 \\ \\ 3*g(x)+4=x-5 \\ 3*g(x)=x-5-4 \\ 3*g(x)=x-9 \\ g(x)= \frac{x}{3} - \frac{9}{3} \\ \\ \boxed{g(x) = \frac{x}{3} - 3}$