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

GradeKG1st2nd3rd4th5th6th7th8thPricingWhy Cuemath?About UsOur ImpactBlogsFAQsAlready booked a tutor?Book A FREE ClassGradeKG1st2nd3rd4th5th6th7th8thPricingWhy Cuemath?About UsOur ImpactBlogsFAQs 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 ClassBecome MathFit™:Boost math skills with daily fun challenges and puzzles.Download the appSTRATEGY GAMESLOGIC PUZZLESMENTAL MATHBecome MathFit™:Boost math skills with daily fun challenges and puzzles.Download the appSTRATEGY GAMESLOGIC PUZZLESMENTAL MATHUS OfficeCueLearn Inc, 1013 Centre Road, Suite 403-B, Wilmington, Delaware 19805India OfficePlot No. F-17/5, Golf Course Rd, Sector 42, Gurugram, Haryana 122009US OfficeCueLearn Inc, 1013 Centre Road, Suite 403-B, Wilmington, Delaware 19805India OfficePlot No. F-17/5, Golf Course Rd, Sector 42, Gurugram, Haryana 122009Terms & conditionsPrivacy PolicyTerms & conditionsPrivacy PolicyABOUT CUEMATHAbout UsOur ImpactOur JourneyOur TutorsFAQsPricingABOUT CUEMATH+About UsOur ImpactOur JourneyOur TutorsFAQsPricingOUR PROGRAMSMath TutorsCueprepOUR PROGRAMS+Math TutorsCueprepRESOURCESBlogsMath PuzzlesMathFit™ 100 PuzzlesMathFit EvaluationRESOURCES+BlogsMath PuzzlesMathFit™ 100 PuzzlesMathFit EvaluationEVENTSMath FestsMath WebinarsEVENTS+Math FestsMath WebinarsMATH TUTORINGOnline Math ClassesOnline Math CoursesOnline Math TutorsMath TuitionMath Tutors IndiaMATH TUTORING+Online Math ClassesOnline Math CoursesOnline Math TutorsMath TuitionMath Tutors IndiaBecome MathFit™:Boost math skills with daily fun challenges and puzzles.Download the appSTRATEGY GAMESLOGIC PUZZLESMENTAL MATHBecome MathFit™:Boost math skills with daily fun challenges and puzzles.Download the appSTRATEGY GAMESLOGIC PUZZLESMENTAL MATHABOUT CUEMATHAbout UsOur ImpactOur JourneyOur TutorsFAQsPricingABOUT CUEMATH+About UsOur ImpactOur JourneyOur TutorsFAQsPricingOUR PROGRAMSMath TutorsCueprepOUR PROGRAMS+Math TutorsCueprepRESOURCESBlogsMath PuzzlesMathFit™ 100 PuzzlesMathFit EvaluationRESOURCES+BlogsMath PuzzlesMathFit™ 100 PuzzlesMathFit EvaluationEVENTSMath FestsMath WebinarsEVENTS+Math FestsMath WebinarsMATH TUTORINGOnline Math ClassesOnline Math CoursesOnline Math TutorsMath TuitionMath Tutors IndiaMATH TUTORING+Online Math ClassesOnline Math CoursesOnline Math TutorsMath TuitionMath Tutors IndiaUS OfficeCueLearn Inc, 1013 Centre Road, Suite 403-B, Wilmington, Delaware 19805India OfficePlot No. F-17/5, Golf Course Rd, Sector 42, Gurugram, Haryana 122009US OfficeCueLearn Inc, 1013 Centre Road, Suite 403-B, Wilmington, Delaware 19805India OfficePlot No. F-17/5, Golf Course Rd, Sector 42, Gurugram, Haryana 122009Terms & conditionsPrivacy PolicyTerms & conditionsPrivacy Policy