The doctor wants to prescribe physical therapy, and he wants me to see Dr. Smith whom he recommended.

Explanation

The sentence contains two independent clauses:- The doctor wants to prescribe physical therapy- he wants me to see Dr. SmithAnd a subordinate clause (introduced by the relative pronoun "whom"):- whom he recommendedThe subordinate clause "whom he recommended" provides additional information about Dr. Smith, and the two independent clauses are joined by a coordinating conjunction ("and"), making the sentence compound-complex.