f(x)=x^2+1 (f+g)(x)= x^2+x-4 x^2+x+4 x^2-x+6 x^2+x+6

To find $(f+g)(x)$, we need to add the functions $f(x)$ and $g(x)$ together.<br /><br />Given:<br />$f(x) = x^2 + 1$<br />$g(x) = x^2 + x - 4$<br /><br />Now, let's add $f(x)$ and $g(x)$:<br />$(f+g)(x) = f(x) + g(x)$<br />$(f+g)(x) = (x^2 + 1) + (x^2 + x - 4)$<br />$(f+g)(x) = x^2 + x^2 + x - 4 + 1$<br />$(f+g)(x) = 2x^2 + x - 3$<br /><br />Therefore, the correct answer is not listed among the options provided. The correct expression for $(f+g)(x)$ is $2x^2 + x - 3$.