The pronunciation of "dog inflammation" in American English is [dɑg ˌɪn.fleˈmeɪ.ʃən]. This phrase is pronounced with a soft "g" in "dog" and a hard "g" in "inflammation." The "in" in "inflammation" is pronounced with a short "i" sound, followed by a long "e" sound, and the "a" in "inflammation" is pronounced as in "father." The "m" in "inflammation" is pronounced as in "mom," and the "tion" ending is pronounced as in "k션.

The reason for this pronunciation is due to the rules of American English phonetics. In American English, the "g" in "dog" is always soft, regardless of its position in the word. This is because American English does not have the "ng" sound that is present in some other English dialects. Additionally, the "in" in "inflammation" follows the same pattern, with the "i" sound being short and the "e" sound being long. The "a" in "inflammation" is also pronounced as in "father," which is a common feature in American English.

According to the American Heritage Dictionary of the English Language, the pronunciation of "dog inflammation" is consistent with the standard American English phonetic rules. The dictionary provides the pronunciation as [dɑg ˌɪn.fleˈmeɪ.ʃən], which aligns with the explanation given above. Furthermore, the Merriam-Webster Dictionary also lists the same pronunciation, reinforcing the accuracy of the explanation.

In conclusion, the pronunciation of "dog inflammation" in American English is [dɑg ˌɪn.fleˈmeɪ.ʃən], and this is due to the phonetic rules of American English. The soft "g" in "dog" and the specific vowel sounds in "inflammation" are characteristic of American English pronunciation.