Answer
The name of the compound is:
$5-isobutyl-3-methylnonane$
Work Step by Step
The compound has 9 carbon atoms in the longest continuous carbon chain (-non). It has all single bonds, hence it is an alkane. It has a methyl group at position 3, and an isobutyl group at position 5. Arranging the substituents in alphabetical order, the name of the compound is:
$5-isobutyl-3-methylnonane$