[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522666-105":59,"doc-detail-522666-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-algebra-2-function-operations-function-operations","Kuta Software-Infinite Algebra 2 - Function Operations - Function Operations","","Function Operations worksheet from Kuta Software-Infinite Algebra 2 for evaluating algebraic function expressions. Students perform requested operations involving given functions g(n), h(x), f(x), including addition, subtraction, and multiplication of functions such as (g ⋅ h), (f − g), (h + g), and (h − g), plus evaluating the resulting composite expressions at specified inputs. The tasks include simplification and finding values like g(3) − h(3) and g(f(2)).",{"@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-algebra-2-function-operations-function-operations/522666/",{"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-algebra-2-function-operations-function-operations/522666.png","ImageObject",300,407,{"name":92,"@type":93},"Margaret","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 types of function operations are included in the worksheet?","Question",{"text":113,"@type":114},"The worksheet includes addition, subtraction, and multiplication of functions, along with evaluating expressions like (g ⋅ h) and (f − g) and composite expressions such as g(f(2)).","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do you find (g ⋅ h)(a) on the problems?",{"text":118,"@type":114},"Compute the product/composite indicated by the operation marker, then substitute the given input value (like 1, −4, or 10) into the resulting expression to get the final value.",{"name":120,"@type":111,"acceptedAnswer":121},"What does g(3) − h(3) require?",{"text":122,"@type":114},"It requires evaluating g at x=3 and h at x=3, then subtracting the second result from the first to obtain the difference.","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},522666,1791497738,{"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},137451207643,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Kuta Software-Infinite Algebra 2 Name___________________________________  \nFunction Operations Date________________ Period____  \nPerform the indicated operation.  \n1) g(n) = n 2 + 4 + 2n 2) f (x) = 4x − 3 h(n) = −3n + 2 g(x) = x 3 + 2x Find (g ⋅ h)(1) Find ( f − g)(4)  \n3) h(x) = 3x + 3 4) g(a) = 3a + 2 g(x) = −4x + 1 f (a) = 2a − 4 Find (h + g)(10) Find (~~ ~~gf~~ ~~)(3)  \n5) g( x) = 2x − 5 6) g(a) = 2a − 1 h( x) = 4x + 5 h(a) = 3a − 3 Find g(3) − h(3) Find ( g ⋅ h)(−4)  \n7) g(t) = t2 + 3 8) g(n) = 3n + 2 h(t) = 4t − 3 f (n) = 2n2 + 5 Find (g ⋅ h)(−1) Find g( f (2))  \n9) g(x) = −x2 − 1 − 2x 10) f (x) = 3x − 1 f (x) = x + 5 g(x) = x2 − x Find (g − f )(x) Find (~~ ~~fg~~ ~~)(x)  \n11) g(a) = −3a − 3 f (a) = a 2 + 5 Find (g − f )(a)  \n12) h(t) = 2t + 1 g(t) = 2t + 2 Find (h − g)(t)  \n13) f (x) = 2x3 − 5x2 14) h(n) = 4n + 5 g(x) = 2x − 1 g(n) = 3n + 4 Find ( f ⋅ g)(x) Find (h − g)(n)  \n15) g(a) = −3a2 − a 16) f (n) = 2nh(a) = −2a − 4 g(n) = −n − 4 Find (~~ ~~gh)(a) Find ( f  g)(n)  \n17) h(a) = 3a 18) g(n) = 2n + 3 g(a) = −a3 − 3 h(n) = n − 1 Find (~~ ~~hg)(a) Find (g  h)(n)  \n19) h(x) = x2 − 2 20) g(t) = 2t + 5 g(x) = 4x + 1 f (t) = −t2 + 5 Find (h  g)(x) Find (g + f )(t)  \n21) g(x) = 2x − 2 22) g(a) = 2a + 2 f (x) = x 2 + 3x h(a) = −2a − 5 Find (g  f )(−2 + x) Find (g  h)(−4 + a)  \nKuta Software-Infinite Algebra 2 Function Operations  \nPerform the indicated operation.  \n1) g(n) = n 2 + 4 + 2nh(n) = −3n + 2  \nFind (g ⋅ h)(1)  \n−7  \n3) h(x) = 3x + 3  \ng(x) = −4x + 1  \nFind (h + g)(10)  \n−6  \n5) g( x) = 2x − 5  \nh( x) = 4x + 5  \nFind g(3) − h(3)  \n−16  \n7) g(t) = t2 + 3  \nh(t) = 4t − 3  \nFind (g ⋅ h)(−1)  \n−28  \nName___________________________________  \nDate________________ Period____  \n2) f (x) = 4x − 3  \ng(x) = x 3 + 2x Find ( f − g)(4)  \n−59  \n4) g(a) = 3a + 2  \nf (a) = 2a − 4  \nFind (~~ ~~gf~~ ~~)(3)  \n11  \n2  \n6) g(a) = 2a − 1  \nh(a) = 3a − 3  \nFind ( g ⋅ h)(−4) 135  \n8) g(n) = 3n + 2  \nf (n) = 2n2 + 5  \nFind g( f (2))  \n41  \n9) g(x) = −x2 − 1 − 2xf (x) = x + 5 Find (g − f )(x)  \n−x2 − 3x − 6  \n11) g(a) = −3a − 3 f (a) = a 2 + 5 Find (g − f )(a)  \n−a2 − 3a − 8  \n10) f (x) = 3x − 1 g(x) = x2 − x Find (~~ ~~fg~~ ~~)(x)  \n3x − 1 x 2 − x  \n12) h(t) = 2t + 1 g(t) = 2t + 2 Find (h − g)(t)  \n−1  \n13) f (x) = 2x3 − 5x2 g(x) = 2x − 1 Find ( f ⋅ g)(x)  \n4x4 − 12x3 + 5x2  \n15) g(a) = −3a2 − a h(a) = −2a − 4  \nFind (~~ ~~gh)(a)  \n−3a2 − a  \n−2a − 4  \n17) h(a) = 3ag(a) = −a3 − 3  \nFind (~~ ~~hg)(a)  \n3a  \n−a3 − 3  \n19) h(x) = x2 − 2 g(x) = 4x + 1 Find (h  g)(x)  \n16x2 + 8x − 1  \n21) g(x) = 2x − 2 f (x) = x 2 + 3x Find (g  f )(−2 + x)  \n2x2 − 2x − 6  \n14) h(n) = 4n + 5 g(n) = 3n + 4 Find (h − g)(n)  \nn + 1  \n16) f (n) = 2ng(n) = −n − 4 Find ( f  g)(n)  \n−2n − 8  \n18) g(n) = 2n + 3 h(n) = n − 1 Find (g  h)(n)  \n2n + 1  \n20) g(t) = 2t + 5 f (t) = −t2 + 5 Find (g + f )(t)  \n−t2 + 2t + 10  \n22) g(a) = 2a + 2 h(a) = −2a − 5 Find (g  h)(−4 + a)  \n−4a + 8  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaicSOtfgzazCX","https://ap.wps.com/l/cbCaicSOtfgzazCX","pdf",39224,"English","# Function Operations\n## Evaluate composite function expressions\n## Find function sums and differences\n## Find function products and evaluate at given inputs","[{\"question\":\"What types of function operations are included in the worksheet?\",\"answer\":\"The worksheet includes addition, subtraction, and multiplication of functions, along with evaluating expressions like (g ⋅ h) and (f − g) and composite expressions such as g(f(2)).\"},{\"question\":\"How do you find (g ⋅ h)(a) on the problems?\",\"answer\":\"Compute the product/composite indicated by the operation marker, then substitute the given input value (like 1, −4, or 10) into the resulting expression to get the final value.\"},{\"question\":\"What does g(3) − h(3) require?\",\"answer\":\"It requires evaluating g at x=3 and h at x=3, then subtracting the second result from the first to obtain the difference.\"}]","Kuta Software-Infinite Algebra 2 - Function Operations - Function Operations | PDF",1791426035]