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Fermi-LAT spectra at high energies (HE, 0.1-100 GeV) are often extrapolatedto very high energies (VHE, >100 GeV) and considered either a good estimate oran upper limit for the blazars intrinsic VHE spectrum. This assumption seemsnot well justified, neither theoretically nor observationally. Besides beingoften softer, observations do indicate that spectra at VHE could be also harderthan at HE, even when adopting the limit of Gamma=1.5. Results based on suchstraightforward GeV-TeV extrapolations are in general not reliable, and shouldbe considered with caution.

A Warning on the GeV-TeV Connection in Blazars