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Although their interaction was initially very adversarial, Kagome and InuYasha's relationship gradually changes over the course of the series, and Kagome's kindness and acceptance of InuYasha has had a noticeable effect on his attitude. Although the two are often seen fighting, they both have feelings for each other. Inuyasha is portrayed as quite protective of Kagome, and often becomes anxious when Kagome sees him protecting Kikyo. In many episodes InuYasha has been to Kagome's era, and once met Kagome's friends Yuka, Eri, and Ayumi when he entered her window while they were in her room. To Kagome's surprise, her 'boyfriend' wins them over.
Kagome and InuYasha had a rocky start. Being the reincarnation of Kikyo, Kagome has a very close resemblance to her. Consequently, the resentment InuYasha held for Kikyo at that time was carried over to Kagome. As the series progresses, however, the relationship between Kagome and InuYasha changes for the better. InuYasha’s tough guy façade slowly dissolves and they fall in love in the typical shōnen fashion. However, Kikyo, InuYasha’s former love, is revived from the grave (using part of Kagome's soul) and InuYasha finds that he still has lingering feelings toward Kikyo. InuYasha decides that he must avenge Kikyo, because she died chasing after him, and he owes her his life. However, Kagome decides to stay with him anyway when she realizes that she loves him. She believes that InuYasha loves Kikyo more, but she will always stays by his side. InuYasha's love for Kagome continues to grow, even though he still cares for Kikyo. This intense love triangle becomes one of the main conflicts within the manga/anime.
As a comic relief, the two argue frequently throughout the anime, in some cases about Kikyo, which sometimes ends with Kagome saying "osuwari" ("sit" in the English dub) and InuYasha splatting to the ground. Miroku, Sango, and Shippo realize that Kagome and InuYasha are in love before the twosome do. It's more evident how InuYasha's concern over Kagome is shown a few chapters after Kikyo's death (chapter 465). InuYasha asked Kagome to stay in modern Tokyo until Naraku was defeated, fearing that she would suffer the same fate as Kikyo. Kagome however decides that she will stay with InuYasha no matter what. In response to this, he holds her hand and tells her that he will protect her with his life. After that, InuYasha's feelings for Kagome remain constant, although he still hasn't officially expressed them.
Further evidence of his feelings appear in Chapter 556. There, InuYasha admits to himself everything Kagome has done for him, including teaching him how to smile, how to trust people, how to shed tears for others, and how to show strength and kindness. He also says that he believes Kagome was born to meet him and for her sake, he was born to meet her as well. InuYasha ultimately saves Kagome from the Shikon no Tama by giving her hope that he'd be by her side. This leads to the Shikon no Tama's destruction, which causes the two of them to be transported to Kagome's time. Inuyasha returns to the Feudal Era where he resides for three years while Kagome stays in her world to finish high school. Eventually, they are reunited and married.