解答の所でなぜg（x）と置く必要があるのかというのと、解答の最後の方の単調減少の所ら辺の説明が分かりません。解説をお願いします。
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![(2)[1]の式はなぜこうなるのでしょうか？
解説お願いします🙏🏻 - 1](https://d1e9oo257tadp1.cloudfront.net/uploads/qa_question_image/file/1810073/thumb_l_webp_1717B3E3-8A84-49A5-82D1-466207496D96.webp?Expires=1787345936&Signature=GSL3TrM~7nBMDiw2NLP7D4SJypKCM~66pTSZ7RRiCHuBevhIkLY1QfesuJBX-GqfHK~cWPwVTgneZWaj6Cc-qDCkJyvePE7UVH6r-cL2KxyscgtGzzkz-XdC3vPR5s-6BzdcE1rE5Ig~RgBi5k~ZSzxgSuTk7IJuxNq9deWrTwtgzv0U6uLoNkcMDHYVZfh1cMOLXPu9WlxPMXk~mXNytH-NybJIW2gwUMeCpAQ7xkQcxyVTMnQbxHGooychDo7PSfRfIy6he9tRI2VUG1FOIrQgPqe1jrRFlqK9CaKbLHYRlrW4Ph4323SIOEOxFkL47i6w~vEwy-JyB7GcTiSdzg__&Key-Pair-Id=K2W722D70GJS8W&Expires=1787345936&Signature=T7kPuJv5Cvwmv44UtNkOGJmavzqXo8bDCOIxDmq4tfbgV8nGHcEX60pb9IyIbMplPRGzXwKmYKBSS0GVlRLHCVqEspZoTNqB1Y5ciUnuXiSBSWJkisgtqH1~18OEaukqAr-snqdstqcSpP10As1UfcysxZap3KFgpEL4ZDc5YTyn5ItURnA6T8j~iqC3rlrvmZHohSPmQ5Wknf7doksddI6N46eKpIa1pjwlk5I5qvWaJIw0q8ANlaTTHMij4QN9HrQpSNmqAML2Jx9pCOrlzP95lhvxmJlqy66uNApqIiZt98jDRiBW6mJqBT-3DKFoJQR9zzbfcSbiJ~u-GWDYbQ__&Key-Pair-Id=K2W722D70GJS8W)
