Question: A blynx is the hybrid offspring of a bobcat and a mammal that is a member of what cat family?

Context paragraphs:
Tiliger: The tiliger is a hybrid cross between a male tiger ("Panthera tigris") and a ligress (which is the hybrid offspring of a male lion and female tiger).  The world's first tiligers were born on 16 August 2007 at The Garold Wayne Interactive Zoological Park in Wynnewood, Oklahoma.

Heterosis: Heterosis, hybrid vigor, or outbreeding enhancement, is the improved or increased function of any biological quality in a hybrid offspring.  The adjective derived from "heterosis" is heterotic.

Blynx: A blynx is the hybrid offspring of a bobcat and a Canada lynx, two closely related species in the genus "Lynx".

Hybrid orangutan: A hybrid orangutan or cocktail orangutan is a usually captive-born orangutan derived from interbreeding between Bornean ("Pongo pygmaeus") and Sumatran ("Pongo abelii") orangutans.  The topic of orangutan speciation was poorly understood until the 1980s, when genetics revealed that orangutans actually comprise these two genetically distinct species.  Before this was known, orangutans from differing species were paired in captivity, and in some cases produced hybrid offspring.  Subsequently, the government of Indonesia and the organization that oversees zoo programs in the United States suggested to stop interbreeding of Sumatran and Bornean orangutans and called for disallowing hybrids to reproduce.

Mexican bobcat: The Mexican bobcat ("Lynx rufus escuinapae") is a subspecies of the bobcat, from the cat family Felidae.  The Mexican bobcat is most commonly found in the Mexican states of Sinaloa and Nayarit.

Hybrizyme: Hybrizyme is a term coined to indicate novel or normally rare gene variants (or alleles) that are associated with hybrid zones, geographic areas where two related species meet, mate, and produce hybrid offspring.  Hybrizymes occur commonly in many, if not all, hybrid zones.  Originally considered to be caused by elevated rates of mutation in hybrids, they are now believed to be the result of purifying selection: in the centre of the hybrid zone, alleles for hybrid fitness are selected, and linked alleles also increase in frequency by genetic hitchhiking.  If those linked alleles happen to be rare variants, they will become more common, and their commonness will only be associated with the area where hybrids are formed.

Sheep–goat hybrid: A sheep–goat hybrid (sometimes called a geep or shoat in popular media) is the hybrid offspring of a sheep and a goat.  Although sheep and goats seem similar and can be mated, they belong to different genera in the subfamily Caprinae of the family Bovidae.  Sheep belong to the genus "Ovis" and have 54 chromosomes, while goats belong to the genus "Capra" and have 60 chromosomes.  The offspring of a sheep-goat pairing is generally stillborn.  Despite widespread shared pasturing of goats and sheep, hybrids are very rare, indicating the genetic distance between the two species.  Though sometimes called "geep", they are not to be confused with sheep–goat chimera, which are artificially created.

Canada lynx: The Canada lynx ("Lynx canadensis") or Canadian lynx is a North American mammal of the cat family, Felidae.  With the recognised subspecies, it ranges across Canada and into Alaska as well as some parts of the northern United States and extending down the Rocky Mountains to Colorado, where they were reintroduced in the 1990s.

Tiger muskellunge: The tiger muskellunge ("Esox masquinongy × lucius" or "Esox lucius × masquinongy"), commonly called tiger muskie, is a carnivorous fish, and is the usually-sterile, hybrid offspring of the true muskellunge ("Esox masquinongy") and the northern pike ("Esox lucius").  It lives in fresh water and its range extends to Canada, the Northeast, and the Midwest United States.  It grows quickly; in one study, tiger muskie grew 1.5 times as fast as muskellunge.  Like other hybrid species, tiger muskie are said to have "hybrid vigor," meaning they grow faster and stronger than the parent fish, and are also less susceptible to disease.  Trophy specimens weigh about 30 lb.  Its main diet is fish and small birds.  The tiger muskie and the muskie are called the fish of 10,000 casts due to the challenge involved in catching them.

Beefalo: Beefalo, also referred to as cattalo or the American hybrid, are a fertile hybrid offspring of domestic cattle ("Bos taurus"), usually a male in managed breeding programs, and the American bison ("Bison bison"), usually a female in managed breeding programs.  The breed was created to combine the characteristics of both animals for beef production.

Supporting paragraphs: Blynx Canada lynx
Answer: Felidae