parity y=sec(x^2+3x) — step-by-step solution

Let's study the parity of

\sec (x^{2} + 3 x)

with respect to

x

The secant is read as

\sec (u) = \frac{1}{\cos (u)}

, on each interval where

\cos (u) \neq 0

The domain is

\cos (x^{2} + 3 x) \neq 0

This domain is not symmetric about 0: the function is neither even nor odd

▶Parity: $neither even nor odd$