  SN 2002cx-like Type Ia supernovae (also known as SNe Iax) represent one of
the most numerous peculiar SN classes. They differ from normal SNe Ia by having
fainter peak magnitudes, faster decline rates and lower photospheric
velocities, displaying a wide diversity in these properties. We present both
integral-field and long-slit visual-wavelength spectroscopy of the host
galaxies and explosion sites of SNe Iax to provide constraints on their
progenitor formation scenarios. The SN Iax explosion site metallicity
distribution is similar to that of core-collapse (CC) SNe and metal-poor
compared to normal SNe Ia. Fainter members, speculated to form distinctly from
brighter SN Iax, are found at a range of metallicities, extending to very
metal-poor environments. Although the SN Iax explosion sites' ages and
star-formation rates are comparatively older and less intense than the
distribution of star forming regions across their host galaxies, we confirm the
presence of young stellar populations (SP) at explosion environments for most
SNe Iax, expanded here to a larger sample. Ages of the young SP (several
$\times 10^{7}$ to $10^8$~yrs) are consistent with predictions for young
thermonuclear and electron-capture SN progenitors. The lack of extremely young
SP at the explosion sites disfavours very massive progenitors such as
Wolf-Rayet explosions with significant fall-back. We find weak ionised gas in
the only SN Iax host without obvious signs of star-formation. The source of the
ionisation remains ambiguous but appears unlikely to be mainly due to young,
massive stars.
