Find the specified domain and express it in interval notation.
-If f(x) =3 x+4 and g(x) =x-x² , evaluate (f+g) (3) .

Question

Find the specified domain and express it in interval notation. -If f(x)=3 x+4 and g(x)=x-x² , evaluate (f+g)(3) . A) 6 B) 19 C) 7 D) -78

Quizplus · Accepted Answer

The function $g(x) = x - x^{2}$ is a polynomial function, and polynomial functions have a domain of all real numbers, just like the linear function $f(x) = 3x + 4$. Therefore, the domain of $f+g$ is also all real numbers, but the question specifically asks for the evaluation of $(f+g)(3)$. To find this, we first evaluate $f(3) = 3(3) + 4 = 9 + 4 = 13$ and $g(3) = 3 - 3^{2} = 3 - 9 = -6$. Adding these together, $f(3) + g(3) = 13 - 6 = 7$.

Find the Specified Domain and Express It in Interval Notation