Step 1: Recall reverse transcriptase functions.
HIV-1 reverse transcriptase is a multifunctional enzyme with three activities:
1. RNA-dependent DNA polymerase (synthesizes DNA from RNA).
2. DNA-dependent DNA polymerase (synthesizes DNA from DNA).
3. RNase H activity (degrades RNA strand of RNA:DNA hybrid).
Step 2: Check missing activity.
It does not possess the activity of synthesizing mRNA from DNA. That function is carried out by RNA polymerase in cells, not reverse transcriptase.
Final Answer:
\[
\boxed{\text{Reverse transcriptase does not synthesize mRNA from DNA.}}
\]