[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523468-105":59,"doc-detail-523468-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","function-inverses-worksheets","Function Inverses - Worksheets","","Worksheets focused on function inverses in Infinite Precalculus, with tasks that first determine whether given functions are inverses and then find the inverse of multiple algebraic functions. Practice includes checking inverse relationships, writing inverse functions, and selecting the correct expressions for inverse outputs. Additional sections ask students to find and graph a function together with its inverse, followed by critical thinking prompts such as giving an example of a function that does not have an inverse.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/function-inverses-worksheets/523468/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/function-inverses-worksheets/523468.png","ImageObject",300,407,{"name":92,"@type":93},"WPS_1790064749","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",12,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How do you check whether two functions are inverses?","Question",{"text":113,"@type":114},"Compare the composition results: if composing the first into the second gives the original input (and vice versa), the functions are inverses. The worksheet includes “State if the given functions are inverses” items for this purpose.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What steps are used to find the inverse of a function on these worksheets?",{"text":118,"@type":114},"Solve for the input variable in terms of the output, then interchange x and y (or rename variables consistently) to write the inverse function. The worksheet repeatedly asks to “Find the inverse of each function.”",{"name":120,"@type":111,"acceptedAnswer":121},"What is required after finding an inverse?",{"text":122,"@type":114},"The worksheet asks to graph the original function and its inverse. This is specified in the section “Find the inverse of each function. Then graph the function and its inverse.”","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},523468,1791506773,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":52,"preview_page_count":4},3985747859154,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Kuta Software-Infinite Precalculus Name   \nFunction Inverses Date  Period   \nState if the given functions are inverses.  \n1) gf()) 􀀠􀀠 􀀐􀀗􀀐􀀙xx 􀀐 􀀔 2) h(n) 􀀠 􀀕􀀜~~ ~~n 􀀎 ~~ ~~􀀔􀀓􀀜 f (n) 􀀠 􀀐􀀘 􀀎 􀀜􀀕~~ ~~n  \n3) g(n) 􀀠 􀀐n􀀗􀀎~~ ~~􀀕~~ ~~ 4) g(x) 􀀠 ~~ ~~􀀔􀀓􀀚~~ ~~x 􀀐 ~~ ~~􀀔􀀘􀀚~~  ~~f (n) 􀀠 􀀐 ~~ ~~ 􀀎 􀀕 f (x) 􀀠 􀀐􀀗 􀀐 􀀗􀀘~~ ~~x  \nFind the inverse of each function.  \n5) h(x) 􀀠 􀀐x􀀖􀀐~~ ~~􀀕~~ ~~ 6) f (x) 􀀠 􀀕􀀚~~ ~~x 􀀐 ~~ ~~􀀔􀀓􀀚  \n7) f (x) 􀀠 􀀐 ~~ ~~􀀐x􀀖􀀐~~ ~~􀀖 􀀐 􀀕 8) h(x) 􀀠 􀀐􀀕x 􀀎 􀀘  \n9) f (x) 􀀠 ~~ ~~􀀘􀀖~~ ~~x 􀀐 ~~ ~~􀀘􀀖~~ ~~ 10) f (x) 􀀠  􀀐 􀀔  \nFind the inverse of each function. Then graph the function and its inverse.  \n11) f (x) 􀀠 􀀘 􀀎 􀀔 􀀎 􀀕  \n13) g(x) 􀀠 􀀐􀀖~~ ~~x􀀐~~ ~~􀀔􀀓􀀘  \n12) f (x) 􀀠 􀀐 ~~ ~~ 􀀎 􀀕  \n14) g(n) 􀀠 􀀕n 􀀖 􀀐 􀀖  \nCritical thinking questions:  \n15) Give an example of a function that doesn't 16) Find the inverse off (x) 􀀠 􀀗  have an inverse.  \nKuta Software-Infinite Precalculus Function Inverses  \nState if the given functions are inverses.  \n1) g(x) 􀀠 􀀐􀀗xf (x) 􀀠 􀀐􀀙x 􀀐 􀀔  \nNo  \n3) g(n) 􀀠 􀀐n􀀗􀀎~~ ~~􀀕 f (n) 􀀠 􀀐 ~~ ~~ 􀀎 􀀕  \nYes  \nFind the inverse of each function.  \n5) h(x) 􀀠 􀀐x􀀖􀀐~~ ~~􀀕  \nh 􀀐􀀔 (x) 􀀠 􀀐 ~~ ~~ 􀀐 􀀕  \n7) f (x) 􀀠 􀀐 ~~ ~~􀀐x􀀖􀀐~~ ~~􀀖 􀀐 􀀕  \nf 􀀐􀀔 (x) 􀀠 x~~ ~~~~ ~~􀀕 􀀐 􀀖  \n9) f (x) 􀀠 ~~ ~~􀀘􀀖~~ ~~x 􀀐 ~~ ~~􀀘􀀖~~ ~~  \nf 􀀐􀀔 (x) 􀀠 􀀔 􀀎 ~~ ~~􀀖􀀘~~ ~~x  \nName  Date  Period   \n2) h(n) 􀀠 􀀕􀀜~~ ~~n 􀀎 ~~ ~~􀀔􀀓􀀜 f (n) 􀀠 􀀐􀀘 􀀎 􀀜􀀕~~ ~~n  \nYes  \n4) g(x) 􀀠 ~~ ~~􀀔􀀓􀀚~~ ~~x 􀀐 ~~ ~~􀀔􀀘􀀚~~  ~~f (x) 􀀠 􀀐􀀗 􀀐 􀀗􀀘~~ ~~x  \nNo  \n6) f (x) 􀀠 􀀕􀀚~~ ~~x 􀀐 ~~ ~~􀀔􀀓􀀚  \nf 􀀐􀀔 (x) 􀀠 􀀘 􀀎 􀀚􀀕~~ ~~x  \n8) h(x) 􀀠 􀀐􀀕x 􀀎 􀀘  \nh 􀀐􀀔 (x) 􀀠 􀀐 ~~ ~~􀀔􀀕~~ ~~x 􀀎 􀀘􀀕~~ ~~  \n10) f (x) 􀀠  􀀐 􀀔  \nf 􀀐􀀔 (x) 􀀠 x~~ ~~~~ ~~􀀔~~ ~~  \nFind the inverse of each function. Then graph the function and its inverse.  \n11) f (x) 􀀠 􀀘 􀀎 􀀔 􀀎 􀀕  \nf 􀀐􀀔 (x) 􀀠 (x 􀀐 􀀕)􀀘 􀀐 􀀔  \n13) g(x) 􀀠 􀀐􀀖~~ ~~x􀀐~~ ~~􀀔􀀓􀀘  \n12) f (x) 􀀠 􀀐 ~~ ~~ 􀀎 􀀕  \nCritical thinking questions:  \n15) Give an example of a function that doesn't have an inverse.  \nf (x) 􀀠 x 􀀕  \n16) Find the inverse off (x) 􀀠 􀀗   \nf 􀀐􀀔 (x) 􀀠 x 􀀗 for x 􀁴 􀀓  \nCreate your own worksheets like this one with Infinite Precalculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCain8sTPBTc973","https://ap.wps.com/l/cbCain8sTPBTc973","pdf",43699,"English","# State if the given functions are inverses\n# Find the inverse of each function\n# Find the inverse and graph the function and its inverse\n# Critical thinking questions","[{\"question\":\"How do you check whether two functions are inverses?\",\"answer\":\"Compare the composition results: if composing the first into the second gives the original input (and vice versa), the functions are inverses. The worksheet includes “State if the given functions are inverses” items for this purpose.\"},{\"question\":\"What steps are used to find the inverse of a function on these worksheets?\",\"answer\":\"Solve for the input variable in terms of the output, then interchange x and y (or rename variables consistently) to write the inverse function. The worksheet repeatedly asks to “Find the inverse of each function.”\"},{\"question\":\"What is required after finding an inverse?\",\"answer\":\"The worksheet asks to graph the original function and its inverse. This is specified in the section “Find the inverse of each function. Then graph the function and its inverse.”\"}]","Function Inverses - Worksheets | PDF",1791426891]