Question

Determine g(x), sabendo que f(x)=2x+5 e f(g(x))=5x+8

Answer 1

$f(x)=2x+5\\ f(g(x))=5x+8\\ \\ f(g(x))=2g(x)+2\\ \\ 2g(x)+2=5x+8\\ 2g(x)=5x+8-2\\ g(x)=\frac { 5x+6 }{ 2 }$