Question

For f(x)=4x+1 and g(x)=(x^2)-5, find (f+g)(x).

Answer 1

$f(x)=4x+1;\ g(x)=x^2-5\\\\(f+g)(x)=f(x)+g(x)\\\\(f+g)(x)=(4x+1)+(x^2-5)=4x+1+x^2-5=x^2+4x+(1-5)\\\\=\boxed{x^2+4x-4}$