Recruits TFIIH to the initiation complex and stimulates the RNA polymerase II C-terminal domain kinase and DNA-dependent ATPase activities of TFIIH. Both TFIIH and TFIIE are required for promoter clearance by RNA polymerase. {ECO:0000269|PubMed:1956398, ECO:0000269|PubMed:1956404}. This is the function of ENSG00000197265 (GTF2E2, general transcription factor IIE subunit 2).