Respuesta :

gmany

[tex]f(x)=4x+1,\ g(x)=x^2-5\\\\(f-g)(x)=f(x)-g(x)\\\\(f-g)(x)=(4x+1)-(x^2-5)=4x+1-x^2-(-5)\\\\=4x+1-x+5=-x^2+4x+(1+5)\\\\=\boxed{(f-g)(x)=-x^2+4x+6}[/tex]