[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523472-105":59,"doc-detail-523472-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","kuta-software-infinite-precalculus-function-operations-perform-the-indicated-operation-find-f-and-g-so-that-hx","Kuta Software - Infinite Precalculus Function Operations - Perform the indicated operation - Find f and g so that h(x)","","Worksheets for Infinite Precalculus focus on performing indicated operations involving functions f, g, and h. Problems require evaluating compositions such as (f ◦ g) and (g ◦ f), simplifying expressions formed from these function operations, and finding specific inputs where composed expressions are computed. Additional items ask students to define functions f and g so that a resulting function h(x) matches given algebraic rules, with constraints that neither f nor g can be the identity function.",{"@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/kuta-software-infinite-precalculus-function-operations-perform-the-indicated-operation-find-f-and-g-so-that-hx/523472/",{"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/kuta-software-infinite-precalculus-function-operations-perform-the-indicated-operation-find-f-and-g-so-that-hx/523472.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",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What does the worksheet ask students to do with functions f, g, and h?","Question",{"text":113,"@type":114},"Students perform the indicated function operations, including evaluating compositions like (f ◦ g) and (g ◦ f), and computing results for specified inputs.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Do problems include composition of two functions?",{"text":118,"@type":114},"Yes. Multiple questions require working with compositions such as (f ◦ g)(x) or (g ◦ h)(t), using the given definitions of f, g, and h.",{"name":120,"@type":111,"acceptedAnswer":121},"What is required in the question that asks to find f and g so that h(x) equals (f ∘ g)(x)?",{"text":122,"@type":114},"Students must choose functions f and g that produce the provided rule for h(x) through composition, while ensuring neither f(x) nor g(x) is the identity function.","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},523472,1791511656,{"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":14,"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":24,"preview_page_count":4},3985747859154,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Kuta Software-Infinite Precalculus Function Operations  \nPerform the indicated operation.  \n1) f (x) 􀀠 􀀖 x 􀀎 􀀗 g(x) 􀀠 􀀐􀀕x 􀀕 􀀐 􀀗 Find (f 􀀎 g)(􀀛)  \n3) f (t) 􀀠 􀀕 t 􀀐 􀀖 g(t) 􀀠 t􀀖 􀀎 t Find (f 􀂘 g)(􀀓)  \n5) g(x) 􀀠 x 􀀎 􀀕 f (x) 􀀠 x 􀀖 􀀐 􀀕x Find (g 􀂘 f )(􀀐􀀗)  \n7) h(x) 􀀠 􀀐x 􀀎 􀀘 g( xFind) (xx􀀐 􀀕)  \n9) f (x) 􀀠 􀀕x 􀀎 􀀘 g(x) 􀀠 􀀕x 􀀎 􀀖 Find (f 􀀎 g)(x)  \n11) g(t) 􀀠 t􀀕 􀀐 􀀕 f (t) 􀀠 􀀗 t 􀀎 􀀗 Find g(t) 􀁹 f (t)  \n13) g(n) 􀀠 􀀖 n 􀀎 􀀔 h(n) 􀀠 􀀕n 􀀐 􀀖  \nFind (􀀐􀀗g 􀀎 􀀘h)(􀀐􀀕n)  \n15) g(t) 􀀠 􀀗 t 􀀎 􀀗 f (t) 􀀠 t􀀕 􀀎 􀀕 t  \nFind (g 􀀐 f )(~~ ~~~~ ~~)  \nName  Date  Period   \n2) h(n) 􀀠 􀀐n 􀀖 􀀐 􀀕ngFi(nnd) () 􀀔  \n4) g(n) 􀀠 􀀐n 􀀎 􀀘 f (n) 􀀠 n 􀀕 􀀐 􀀔 Find (g  f )(􀀙)  \n6) g(x) 􀀠 x 􀀕 􀀎 􀀕 h(x) 􀀠 􀀖 x 􀀐 􀀕 Find (g 􀀎 h)(􀀐􀀖)  \n8) g(x) 􀀠 􀀗x 􀀐 􀀕 h(x) 􀀠 x 􀀕 􀀐 􀀘x Find g(x) 􀀐 h(x)  \n10) h(t) 􀀠 􀀕 t 􀀐 􀀕 g(t) 􀀠 􀀗 t 􀀎 􀀗 Find (h 􀂘 g)(t)  \n12) h(n) 􀀠 􀀕n 􀀎 􀀔 g(n) 􀀠 n 􀀐 􀀕 Find h(n) 􀀐 􀀘g(n)  \n14) h(n) 􀀠 􀀖 n 􀀐 􀀔 g(n) 􀀠 􀀗n 􀀐 􀀕 Find (h  g)(􀀗 􀀎 n)  \n16) g(t) 􀀠 􀀗 t 􀀐 􀀖 f (t) 􀀠 t 􀀖 􀀐 􀀕 Find (g 􀀎 f )(􀀐t)  \nFind f and g so that h(x) 􀀠 ( f  g)(x). Neither function may be the identity function f (x) 􀀠 x.  \n17) h(x) 􀀠 􀀘x􀀕 􀀎 􀀔 18) h(x) 􀀠 ( x 􀀎 􀀔)􀀕  \n19) h(x) 􀀠 􀀘x 􀀎 􀀔 􀀎 􀀔 20) h(x) 􀀠 􀀖  􀀎 􀀔  \n21) h(x) 􀀠 ( x 􀀎 􀀖)􀀕 22) h(x) 􀀠 􀀗x~~ ~~􀀕 􀀎 􀀕  \nKuta Software-Infinite Precalculus Function Operations  \nName  Date  Period   \nPerform the indicated operation.  \n1) f (x) 􀀠 􀀖 x 􀀎 􀀗 g(x) 􀀠 􀀐􀀕x 􀀕 􀀐 􀀗 Find (f 􀀎 g)(􀀛)  \n􀀐􀀔􀀓􀀗  \n3) f (t) 􀀠 􀀕 t 􀀐 􀀖 g(t) 􀀠 t􀀖 􀀎 t Find (f 􀂘 g)(􀀓)  \n􀀓  \n5) g(x) 􀀠 x 􀀎 􀀕 􀀔􀀔􀀕 f (x) 􀀠 x 􀀖 􀀐 􀀕x Find (g 􀂘 f )(􀀐􀀗)  \n7) h(x) 􀀠 􀀐x 􀀎 􀀘  􀀐x 􀀎 􀀘   \ng( xFind) (xx􀀐 􀀕) 􀀐􀀖 x 􀀐 􀀕  \n9) f (x) 􀀠 􀀕x 􀀎 􀀘 􀀗x 􀀎 􀀛  \ng(x) 􀀠 􀀕x 􀀎 􀀖 Find (f 􀀎 g)(x)  \n11) g(t) 􀀠 t􀀕 􀀐 􀀕  t􀀕 􀀐 􀀕  f (t) 􀀠 􀀗 t 􀀎 􀀗 􀀗 t 􀀎 􀀗 Find g(t) 􀁹 f (t)  \n13) g(n) 􀀠 􀀖 n 􀀎 􀀔 h(n) 􀀠 􀀕n 􀀐 􀀖 Find (􀀐􀀗g 􀀎 􀀘h)(􀀐􀀕n)  \n􀀗n 􀀐 􀀔􀀜  \n15) g(t) 􀀠 􀀗 t 􀀎 􀀗 fFi)d􀀠(tg􀀕􀀐􀀎f􀀕)t(~~ ~~)  \n􀀗 t 􀀎 􀀔􀀙 􀀐 t􀀕  \n􀀗  \n2) h(n) 􀀠 􀀐n 􀀖 􀀐 􀀕ngFi(nnd) () 􀀔  \n4) g(n) 􀀠 􀀐n 􀀎 􀀘 f (n) 􀀠 n 􀀕 􀀐 􀀔 Find (g  f )(􀀙)  \n 􀀚􀀕   \n􀀚  \n􀀐􀀖􀀓  \n6) g(x) 􀀠 x 􀀕 􀀎 􀀕 h(x) 􀀠 􀀖 x 􀀐 􀀕 Find (g 􀀎 h)(􀀐􀀖)  \n8) g(x) 􀀠 􀀗x 􀀐 􀀕 h(x) 􀀠 x 􀀕 􀀐 􀀘x Find g(x) 􀀐 h(x)  \n􀀓  \n􀀐x􀀕 􀀎 􀀜x 􀀐 􀀕  \n10) h(t) 􀀠 􀀕 t 􀀐 􀀕 g(t) 􀀠 􀀗 t 􀀎 􀀗 Find (h 􀂘 g)(t)  \n􀀛 t􀀕 􀀐 􀀛  \n12) h(n) 􀀠 􀀕n 􀀎 􀀔 g(n) 􀀠 n 􀀐 􀀕 Find h(n) 􀀐 􀀘g(n)  \n􀀐􀀖 n 􀀎 􀀔􀀔  \n14) h(n) 􀀠 􀀖 n 􀀐 􀀔 g(n) 􀀠 􀀗n 􀀐 􀀕 Find (h  g)(􀀗 􀀎 n)  \n􀀔􀀕n 􀀎 􀀗􀀔  \n16) g(t) 􀀠 􀀗 t 􀀐 􀀖 f (t) 􀀠 t 􀀖 􀀐 􀀕 Find (g 􀀎 f )(􀀐t)  \n􀀐t􀀖 􀀐 􀀗 t 􀀐 􀀘  \nFind f and g so that h(x) 􀀠 ( f  g)(x). Neither function may be the identity function f (x) 􀀠 x.  \n17) h(x) 􀀠 􀀘x􀀕 􀀎 􀀔 f (x) 􀀠 􀀘x 􀀎 􀀔 g(x) 􀀠 x 􀀕  \n19) h(x) 􀀠 􀀘x 􀀎 􀀔 􀀎 􀀔 f (x) 􀀠  􀀎 􀀔 g(x) 􀀠 􀀘x 􀀎 􀀔  \n21) h(x) 􀀠 ( x 􀀎 􀀖)􀀕 f (x) 􀀠 x 􀀕 g(x) 􀀠  􀀎 􀀖  \n18) h(x) 􀀠 ( x 􀀎 􀀔)􀀕 f (x) 􀀠 x 􀀕 g(x) 􀀠  􀀎 􀀔  \n20) h(x) 􀀠 􀀖  􀀎 􀀔  \n22) h(x) 􀀠 􀀗x~~ ~~􀀕 􀀎 􀀕  \nf (x) 􀀠 􀀖 xg(x) 􀀠  􀀎 􀀔 f (x) 􀀠  􀀎 􀀕 g(x) 􀀠 x 􀀕  \nCreate your own worksheets like this one with Infinite Precalculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiirV9RAyqW7c","https://ap.wps.com/l/cbCaiirV9RAyqW7c","pdf",30249,"English","# Perform the indicated operation\n## Function compositions and evaluations\n## Define f and g to match h(x)","[{\"question\":\"What does the worksheet ask students to do with functions f, g, and h?\",\"answer\":\"Students perform the indicated function operations, including evaluating compositions like (f ◦ g) and (g ◦ f), and computing results for specified inputs.\"},{\"question\":\"Do problems include composition of two functions?\",\"answer\":\"Yes. Multiple questions require working with compositions such as (f ◦ g)(x) or (g ◦ h)(t), using the given definitions of f, g, and h.\"},{\"question\":\"What is required in the question that asks to find f and g so that h(x) equals (f ∘ g)(x)?\",\"answer\":\"Students must choose functions f and g that produce the provided rule for h(x) through composition, while ensuring neither f(x) nor g(x) is the identity function.\"}]","Kuta Software - Infinite Precalculus Function Operations - Perform the indicated operation - Find f and g so that h(x) | PDF",1791426897]