Using the mean value theorem

Let $g(x)=\sqrt{2x-4}$g, left parenthesis, x, right parenthesis, equals, square root of, 2, x, minus, 4, end square root and let $c$c be the number that satisfies the Mean Value Theorem for $g$g on the interval $2\leq x\leq10$2, is less than or equal to, x, is less than or equal to, 10.