This question tests precise knowledge of both TMSH command syntax and BIG-IP object namespace hierarchy . Two critical distinctions must be correctly identified:

1. create vs. modify: Since the Trunk already exists and the administrator is adding interfaces to it, the correct verb is modify — not create . Using create on an existing object would either throw an error or attempt to overwrite the object entirely, neither of which is the desired outcome.

2. /sys vs. /net namespace: Trunk objects in BIG-IP reside within the /net namespace, which encompasses network-layer constructs including Trunks, VLANs, Self IPs, and Routes. The /sys namespace is reserved for system-level objects such as management settings, software, and licensing — it does not contain Trunk objects.

Therefore, the only syntactically and functionally correct command is:

tmsh modify /net trunk trunk_A interfaces add {1.3 1.4}

This command appends interfaces 1.3 and 1.4 to the existing trunk_A object without disrupting currently assigned interfaces, increasing aggregated bandwidth accordingly.

Options A and C use the incorrect /sys namespace, and options A and B incorrectly use the create verb for an existing object.