Let $g(w)=-3w^2+1$

Determine the average value, $g(c),$ of $g$ over $-7,1.$

$g(c)=$

$$

$$

Determine the value$($s$)$ of $c$ in $-7,1$ guaranteed by the Mean Value Theorem.

$c=$

$$ Invalid use of a comma. syntax incomplete. Hint: Recall that the MVT guarantees at least one value of cin$[a,b]$ such that $f(c)=\frac{1}{b-a}{\displaystyle \underset{a}{\overset{b}{}}}f(x)dx$ provided $f$ is continuous over $a,b.$

Can you please explain for me how to get the second answer? It got $-3$ but its not right