Question

Sabendo que f(g(x)) = 3x - 7 e f( x ) = x/3 - 2, calcule g(x)

Answer 1

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