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Function Operations

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Add and subtract functions
Multiply functions
Divide functions
Composition of linear and quadratic functions
Identify inverse functions

{"QuestionId":33752,"QuestionText":"What is $$ (f + j)(x) $$ if $$ f(x) = - 3x^2 $$ and \r\n$$ j(x) = - 8^2 + 4x $$ ?","QuestionFormatJson":null,"CorrectAnswerFormat":null,"AnswerFormatType":null,"AnswerForamtJson":"{\"Type\":\"FIB\",\r\n\"SubType\":\"MathQuillFIB\",\r\n\"CorrectAnswerFormat\":null,\r\n\"AnswerDisplayFormat\":null\r\n}","FormatType":null,"OpExpression":null,"Operator":null,"Operand1":"-3","Operand2":null,"selectedAnswer":null,"IsInactive":false,"isSelected":null,"CorrectAnswer":"-3x^2 + 4x - 64","timeInMilliSeconds":null,"QuestionType":null,"VariableList":null,"WorksheetQuestionText":null,"AnswerOption":{"Opt1":null,"Opt2":null,"Opt3":null,"Opt4":null,"QuestionId":33752},"QuestionDetail":{"QuestionDetailId":0,"QuestionId":33752,"SubTopicId":3526,"SubTopic":{"SubTopicId":3526,"SubTopicDesc":"Add and subtract functions","Hint":"Write your answer as a polynomial or a rational function in simplest form.","SubTopicDescSEO":null,"IsSEOUrlActive":true,"IsInactive":false,"IsCombinedSubTopic":null,"CombineSubTopicIdList":null,"TopicTopicId":"TFOpr","TopicTopicDesc":"Function Operations","IsToolbar":true,"DisplayFormat":"{ \"bgColor\":\"green\", \"IsQAtogether\" :false, \"IsImage\" : false, \"IsGraph\": false, \"IsTable\" : false, \"ToolbarType\" : {\"type\": \"simple\"} }","QuestionTextFormat":null,"WorksheetText":null,"IsSignInRequired":false,"IsPaidRequired":false,"DisplayFormatJson":{"bgColor":"green","IsQAtogether":false,"IsImage":false,"IsGraph":false,"IsTable":false,"ToolbarType":{"type":"simple"}},"MilliSeconds":0},"TopicDesc":null,"QuestionDiffLevel":null},"ImageData":null,"GraphData":null,"TableData":null,"AnswerFormatJsonDto":{"Type":"FIB","SubType":"MathQuillFIB","CorrectAnswerFormat":null,"AnswerDisplayFormat":null,"AnswerType":null},"AssignWorksheetId":null,"MilliSeconds":0}

{"QuestionId":33802,"QuestionText":"What is $$ (f \\cdot d)(x) $$ if $$ f(x) = x + 9 $$ and $$ d(x) = - 3^2 x $$ ?","QuestionFormatJson":null,"CorrectAnswerFormat":null,"AnswerFormatType":null,"AnswerForamtJson":"{\"Type\":\"FIB\",\r\n\"SubType\":\"MathQuillFIB\",\r\n\"CorrectAnswerFormat\":null,\r\n\"AnswerDisplayFormat\":null\r\n}","FormatType":null,"OpExpression":null,"Operator":null,"Operand1":"9","Operand2":null,"selectedAnswer":null,"IsInactive":false,"isSelected":null,"CorrectAnswer":"-9x^2 - 81x","timeInMilliSeconds":null,"QuestionType":null,"VariableList":null,"WorksheetQuestionText":null,"AnswerOption":{"Opt1":null,"Opt2":null,"Opt3":null,"Opt4":null,"QuestionId":33802},"QuestionDetail":{"QuestionDetailId":0,"QuestionId":33802,"SubTopicId":3527,"SubTopic":{"SubTopicId":3527,"SubTopicDesc":"Multiply functions","Hint":"Write your answer as a polynomial or a rational function in simplest form.","SubTopicDescSEO":null,"IsSEOUrlActive":true,"IsInactive":false,"IsCombinedSubTopic":null,"CombineSubTopicIdList":null,"TopicTopicId":"TFOpr","TopicTopicDesc":"Function Operations","IsToolbar":true,"DisplayFormat":"{ \"bgColor\":\"green\", \"IsQAtogether\" :false, \"IsImage\" : false, \"IsGraph\": false, \"IsTable\" : false, \"ToolbarType\" : {\"type\": \"simple\"} }","QuestionTextFormat":null,"WorksheetText":null,"IsSignInRequired":false,"IsPaidRequired":false,"DisplayFormatJson":{"bgColor":"green","IsQAtogether":false,"IsImage":false,"IsGraph":false,"IsTable":false,"ToolbarType":{"type":"simple"}},"MilliSeconds":0},"TopicDesc":null,"QuestionDiffLevel":null},"ImageData":null,"GraphData":null,"TableData":null,"AnswerFormatJsonDto":{"Type":"FIB","SubType":"MathQuillFIB","CorrectAnswerFormat":null,"AnswerDisplayFormat":null,"AnswerType":null},"AssignWorksheetId":null,"MilliSeconds":0}

{"QuestionId":33852,"QuestionText":"What is $$ (\\frac {f}{c})(x)? $$ if $$ f(x) = - 5x^2 $$ and $$ c(x) = x + 4 $$ ?","QuestionFormatJson":null,"CorrectAnswerFormat":null,"AnswerFormatType":null,"AnswerForamtJson":"{\"Type\":\"FIB\",\r\n\"SubType\":\"MathQuillFIB\",\r\n\"CorrectAnswerFormat\":null,\r\n\"AnswerDisplayFormat\":null\r\n}","FormatType":null,"OpExpression":null,"Operator":null,"Operand1":"-5","Operand2":null,"selectedAnswer":null,"IsInactive":false,"isSelected":null,"CorrectAnswer":"\\frac{-5x^2}{x + 4}","timeInMilliSeconds":null,"QuestionType":null,"VariableList":null,"WorksheetQuestionText":null,"AnswerOption":{"Opt1":null,"Opt2":null,"Opt3":null,"Opt4":null,"QuestionId":33852},"QuestionDetail":{"QuestionDetailId":0,"QuestionId":33852,"SubTopicId":3528,"SubTopic":{"SubTopicId":3528,"SubTopicDesc":"Divide functions","Hint":"Reduce all the fractions to their simplest forms.","SubTopicDescSEO":null,"IsSEOUrlActive":true,"IsInactive":false,"IsCombinedSubTopic":null,"CombineSubTopicIdList":null,"TopicTopicId":"TFOpr","TopicTopicDesc":"Function Operations","IsToolbar":true,"DisplayFormat":"{ \"bgColor\":\"green\", \r\n \"IsQAtogether\" :false,\r\n \"IsImage\" : false,\r\n \"IsGraph\": false,\r\n \"IsTable\" : false, \r\n \"ToolbarType\" : {\"type\": \"simple\"}\r\n }","QuestionTextFormat":null,"WorksheetText":null,"IsSignInRequired":false,"IsPaidRequired":false,"DisplayFormatJson":{"bgColor":"green","IsQAtogether":false,"IsImage":false,"IsGraph":false,"IsTable":false,"ToolbarType":{"type":"simple"}},"MilliSeconds":0},"TopicDesc":null,"QuestionDiffLevel":null},"ImageData":null,"GraphData":null,"TableData":null,"AnswerFormatJsonDto":{"Type":"FIB","SubType":"MathQuillFIB","CorrectAnswerFormat":null,"AnswerDisplayFormat":null,"AnswerType":null},"AssignWorksheetId":null,"MilliSeconds":0}

{"QuestionId":33902,"QuestionText":"Find $$ (f \\circ j)(5)$$ if $$ f(x) = 3x $$ and $$ j(x) = x^2 + 3x $$","QuestionFormatJson":null,"CorrectAnswerFormat":null,"AnswerFormatType":null,"AnswerForamtJson":"{\"Type\":\"FIB\",\r\n\"SubType\":\"SimpleFIB\",\r\n\"CorrectAnswerFormat\":null,\r\n\"AnswerDisplayFormat\":null\r\n}","FormatType":null,"OpExpression":null,"Operator":null,"Operand1":"5","Operand2":null,"selectedAnswer":null,"IsInactive":false,"isSelected":null,"CorrectAnswer":"120","timeInMilliSeconds":null,"QuestionType":null,"VariableList":null,"WorksheetQuestionText":null,"AnswerOption":{"Opt1":null,"Opt2":null,"Opt3":null,"Opt4":null,"QuestionId":33902},"QuestionDetail":{"QuestionDetailId":0,"QuestionId":33902,"SubTopicId":3529,"SubTopic":{"SubTopicId":3529,"SubTopicDesc":"Composition of linear and quadratic functions","Hint":null,"SubTopicDescSEO":null,"IsSEOUrlActive":true,"IsInactive":false,"IsCombinedSubTopic":null,"CombineSubTopicIdList":null,"TopicTopicId":"TFOpr","TopicTopicDesc":"Function Operations","IsToolbar":false,"DisplayFormat":null,"QuestionTextFormat":null,"WorksheetText":null,"IsSignInRequired":false,"IsPaidRequired":false,"DisplayFormatJson":null,"MilliSeconds":0},"TopicDesc":null,"QuestionDiffLevel":null},"ImageData":null,"GraphData":null,"TableData":null,"AnswerFormatJsonDto":{"Type":"FIB","SubType":"SimpleFIB","CorrectAnswerFormat":null,"AnswerDisplayFormat":null,"AnswerType":null},"AssignWorksheetId":null,"MilliSeconds":0}

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