To find the value of [tex]\((h \circ h)(10)\)[/tex], we need to first determine [tex]\(h(10)\)[/tex] and then use that result to determine [tex]\(h(h(10))\)[/tex].
Given the function [tex]\(h(x) = 6 - x\)[/tex]:
1. Calculate [tex]\(h(10)\)[/tex]:
[tex]\[
h(10) = 6 - 10 = -4
\][/tex]
2. Now calculate [tex]\(h(h(10))\)[/tex], which is [tex]\(h(-4)\)[/tex]:
[tex]\[
h(-4) = 6 - (-4) = 6 + 4 = 10
\][/tex]
Therefore, the value of [tex]\((h \circ h)(10)\)[/tex] is [tex]\(10\)[/tex].
So the answer is:
[tex]\[
\boxed{10}
\][/tex]
