Answer:
The nerve that does not innervate the shoulder and upper back is the sciatic nerve (option d).
Step-by-step explanation:
The sciatic nerve is formed by the union of the last lumbar nerve roots (L4 and L5) and roots from the sacrum (S1 to S3), and is a long and thick nerve that extends along the lower limb, from the gluteal region to the back of the thigh to end up in the peroneal and tibial nerves.
The function of the sciatic nerve is predominantly motor, allowing the mobility of the lower limb to that which innervate.
The other options correspond to nerves that innervate the shoulder and upper back:
a. Thoracodorsal nerve, innervates the latissimus dorsi muscle.
b. Subscapular nerve, It innervates the subspcapular and major round muscle.
c. Axillary nerve, for sensitivity to the shoulder and mobility to the minor round.