If (f + G)(x) = 3x2 + 2x - 1 And G(x) = 2x - 2, What Is F(x)? - Cuemath

GradeKG1st2nd3rd4th5th6th7th8th9th10th11th12thPricingAbout UsAlready booked a tutor?Book A FREE ClassGradeKG1st2nd3rd4th5th6th7th8th9th10th11th12thPricingAbout UsFind your Math Personality!Find your Math Personality! If (f + g)(x) = 3x2 + 2x - 1 and g(x) = 2x - 2, what is f(x)?

Solution:

Given: (f + g)(x) = 3x2 + 2x - 1 and g(x) = 2x - 2

From the composite functions

(f + g)(x) = g(x) + f(x)

Substituting the values

3x2 + 2x - 1 = 2x - 2 + f (x)

By further calculation,

f(x) = (3x2 + 2x - 1) - (2x - 2)

So we get

f(x) = 3x2 + 2x - 1 - 2x + 2

f(x) = 3x2 + 1

Therefore, f(x) = 3x2 + 1.

If (f + g)(x) = 3x2 + 2x - 1 and g(x) = 2x - 2, what is f(x)?

Summary:

If (f + g)(x) = 3x2 + 2x - 1 and g(x) = 2x - 2, then the value of f(x) is 3x2 + 1.

Explore math programMath worksheets and visual curriculumBook A FREE ClassFOLLOW CUEMATHFacebookYoutubeInstagramTwitterLinkedInTiktokMATH PROGRAMMath ProgramOnline TutorsMath TutorsQUICK LINKSMath GamesMath PuzzlesMath QuestionsBlogsMATH WORKSHEETSKindergarten Worksheets1st Grade Worksheets2nd Grade Worksheets3rd Grade Worksheets4th Grade Worksheets5th Grade Worksheets6th Grade Worksheets7th Grade Worksheets8th Grade Worksheets9th Grade Worksheets10th Grade WorksheetsCURRICULUM1st Grade Math2nd Grade Math3rd Grade Math4th Grade Math5th Grade Math6th Grade Math7th Grade Math8th Grade MathABOUT USOur MissionOur JourneyOur TeamMATH TOPICSNumbersAlgebraGeometryMeasurementCommercial MathDataTrigonometryCalculusMath FormulasCalculatorsMultiplication TablesINTERNATIONALUnited StatesUnited KingdomCanadaDubaiAustraliaFranceGermanyIndonesiaItalyNetherlandsSri LankaSingaporeSaudi ArabiaOmanBahrainQatarNorwaySwedenIrelandFOLLOW CUEMATHFacebookYoutubeInstagramTwitterLinkedInTiktokMATH PROGRAMMath ProgramOnline TutorsMath TutorsMATH WORKSHEETSKindergarten Worksheets1st Grade Worksheets2nd Grade Worksheets3rd Grade Worksheets4th Grade Worksheets5th Grade Worksheets6th Grade Worksheets7th Grade Worksheets8th Grade Worksheets9th Grade Worksheets10th Grade WorksheetsINTERNATIONALUnited StatesUnited KingdomCanadaDubaiAustraliaFranceGermanyIndonesiaItalyNetherlandsSri LankaSingaporeSaudi ArabiaOmanBahrainQatarNorwaySwedenIrelandABOUT USOur MissionOur JourneyOur TeamMATH TOPICSNumbersAlgebraGeometryMeasurementCommercial MathDataTrigonometryCalculusMath FormulasCalculatorsMultiplication TablesQUICK LINKSMath GamesMath PuzzlesMath QuestionsBlogsCURRICULUM1st Grade Math2nd Grade Math3rd Grade Math4th Grade Math5th Grade Math6th Grade Math7th Grade Math8th Grade MathTerms and ConditionsPrivacy Policy