Continuity · Exercise 34

Determine whether or not the given function $f$ is continuous everywhere. If it is continuous everywhere it is defined, state for what range it is continuous. If it is discontinuous, state where it is discontinuous.

$f\left(x\right)=sec\left(x\right)-3$.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Precalculus 2e · §12.3 Continuity · Exercise 34