Answer:
1-bromo-1-tert-butylcyclohexane
Explanation:
The parent compound comprises of a cyclohexane to with a tertiary butyl carbon attached. We have been told that the reaction occurs by radical mechanism hence we must recall the order of stability of radicals: tertiary>a secondary> a primary. This implies that the reaction will occur at carbon 1 of the cyclohexane which is a tertiary carbon atom. This leads to the formation of a radical at the 1-position and bromination at that position hence the answer chosen above.
