Question

Dada as funcoes f(x)=5x-3 é g(x)=3x+n , sabe Se que f(3)-g(3)=5. Determine o valor de n

Answer 1

$f(x)=5x-3\ \therefore\ f(3)=5(3)-3\ \therefore\ \boxed{f(3)=12}\\\\ g(x)=3x+n\ \therefore\ g(3)=3(3)+n\ \therefore\ \boxed{g(3)=9+n}$

$f(3)-g(3)=5\ \therefore\ 12-(9+n)=5\ \there\ \therefore\\\\ 12-9-n=5\ \therefore\ \boxed{n=-2}$