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SN 2002cx-like Type Ia supernovae (also known as SNe Iax) represent one ofthe most numerous peculiar SN classes. They differ from normal SNe Ia by havingfainter peak magnitudes, faster decline rates and lower photosphericvelocities, displaying a wide diversity in these properties. We present bothintegral-field and long-slit visual-wavelength spectroscopy of the hostgalaxies and explosion sites of SNe Iax to provide constraints on theirprogenitor formation scenarios. The SN Iax explosion site metallicitydistribution is similar to that of core-collapse (CC) SNe and metal-poorcompared to normal SNe Ia. Fainter members, speculated to form distinctly frombrighter SN Iax, are found at a range of metallicities, extending to verymetal-poor environments. Although the SN Iax explosion sites' ages andstar-formation rates are comparatively older and less intense than thedistribution of star forming regions across their host galaxies, we confirm thepresence of young stellar populations (SP) at explosion environments for mostSNe 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 youngthermonuclear and electron-capture SN progenitors. The lack of extremely youngSP at the explosion sites disfavours very massive progenitors such asWolf-Rayet explosions with significant fall-back. We find weak ionised gas inthe only SN Iax host without obvious signs of star-formation. The source of theionisation remains ambiguous but appears unlikely to be mainly due to young,massive stars.

Investigating the diversity of supernovae type Iax: A MUSE and NOT spectroscopic study of their environments