Using The Function F And G Given Below, Find Fog And Gof. Check ...

Trang chủ » F(x)=x-6 G(x)=x2 » Using The Function F And G Given Below, Find Fog And Gof. Check ...

Có thể bạn quan tâm

English0Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10Question PapersQuestion PapersTextbook Solutions8443MCQ Online Mock TestsImportant SolutionsConcept Notes & Videos248Time TablesSyllabusUsing the function f and g given below, find fog and gof. Check whether fog = gof f(x) = x – 6, g(x) = x2 - Mathematics
Advertisements
Advertisements

Question

Using the function f and g given below, find fog and gof. Check whether fog = gof

f(x) = x – 6, g(x) = x2

Sum
Advertisements

SolutionShow Solution

f(x) = x – 6, g(x) = x2

fog = fog(x)

= f(g(x))

fog = f(x)2

= x2 – 6

gof = gof(x)

= g(x – 6)

= (x – 6)2

= x2 – 12x + 36

fog ≠ gof

shaalaa.comComposition of Functions Report Error Is there an error in this question or solution?Q 1. (i)Q 12. (v)Q 1. (ii)Chapter 1: Relations and Functions - Exercise 1.5 [Page 31]

APPEARS IN

Samacheer Kalvi Mathematics [English] Class 10 SSLC TN BoardChapter 1 Relations and FunctionsExercise 1.5 | Q 1. (i) | Page 31

RELATED QUESTIONS

Using the function f and g given below, find fog and gof. Check whether fog = gof

f(x) = `(x + 6)/3`, g(x) = 3 – x

Using the function f and g given below, find fog and gof. Check whether fog = gof

f(x) = 3 + x, g(x) = x – 4

If f(x) = x2 – 1, g(x) = x – 2 find a, if gof(a) = 1

Find k, if f(k) = 2k – 1 and fof(k) = 5

Let A, B, C ⊆ N and a function f: A → B be defined by f(x) = 2x + 1 and g: B → C be defined by g(x) = x2. Find the range of fog and gof.

If f(x) = x2 – 1. Find fofof

Consider the function f(x), g(x), h(x) as given below. Show that (fog)oh = fo(goh)

f(x) = x – 1, g(x) = 3x + 1 and h(x) = x2

Multiple choice question :

If f(x) = 2x2 and g(x) = `1/(3x)`, then fog is

Multiple choice question :

Let f and g be two function given by f = {(0, 1), (2, 0), (3, – 4), (4, 2), (5, 7)} g = {(0, 2), (1, 0), (2, 4), (– 4, 2), (7, 0) then the range of fog is

Multiple choice question :

If g = {(1, 1), (2, 3), (3, 5), (4, 7)} is a function given by g(x) = αx + β then the value of α and β are

Download the Shaalaa app from the Google Play Store Question Bank with Solutions
  • Maharashtra State Board Question Bank with Solutions (Official)
Textbook Solutions
  • Balbharati Solutions (Maharashtra)
  • Samacheer Kalvi Solutions (Tamil Nadu)
  • NCERT Solutions
  • RD Sharma Solutions
  • RD Sharma Class 10 Solutions
  • RD Sharma Class 9 Solutions
  • Lakhmir Singh Solutions
  • TS Grewal Solutions
  • ICSE Class 10 Solutions
  • Selina ICSE Concise Solutions
  • Frank ICSE Solutions
  • ML Aggarwal Solutions
NCERT Solutions
  • NCERT Solutions for Class 12 Maths
  • NCERT Solutions for Class 12 Physics
  • NCERT Solutions for Class 12 Chemistry
  • NCERT Solutions for Class 12 Biology
  • NCERT Solutions for Class 11 Maths
  • NCERT Solutions for Class 11 Physics
  • NCERT Solutions for Class 11 Chemistry
  • NCERT Solutions for Class 11 Biology
  • NCERT Solutions for Class 10 Maths
  • NCERT Solutions for Class 10 Science
  • NCERT Solutions for Class 9 Maths
  • NCERT Solutions for Class 9 Science
Board / University Study Material
  • CBSE Study Material
  • Maharashtra State Board Study Material
  • Tamil Nadu State Board Study Material
  • CISCE ICSE / ISC Study Material
  • Mumbai University Engineering Study Material
Question Paper Solutions
  • CBSE Previous Year Question Papers With Solutions for Class 12 Arts
  • CBSE Previous Year Question Papers With Solutions for Class 12 Commerce
  • CBSE Previous Year Question Papers With Solutions for Class 12 Science
  • CBSE Previous Year Question Papers With Solutions for Class 10
  • Maharashtra State Board Previous Year Question Papers With Solutions for Class 12 Arts
  • Maharashtra State Board Previous Year Question Papers With Solutions for Class 12 Commerce
  • Maharashtra State Board Previous Year Question Papers With Solutions for Class 12 Science
  • Maharashtra State Board Previous Year Question Papers With Solutions for Class 10
  • CISCE ICSE / ISC Board Previous Year Question Papers With Solutions for Class 12 Arts
  • CISCE ICSE / ISC Board Previous Year Question Papers With Solutions for Class 12 Commerce
  • CISCE ICSE / ISC Board Previous Year Question Papers With Solutions for Class 12 Science
  • CISCE ICSE / ISC Board Previous Year Question Papers With Solutions for Class 10
Other Resources
  • Entrance Exams
  • Video Tutorials
  • Question Papers
  • Question Bank Solutions
  • Question Search (beta)
  • Privacy Policy
  • Terms and Conditions
  • Contact Us
  • About Us
  • Shaalaa App
  • Ad-free Subscriptions
© 2025 Shaalaa.com | Contact Us | Privacy PolicyShare 0 0 0 0 0Notifications

Select a course

CANCELEnglishहिंदीमराठीuserLoginCreate free accountemail:password:Log in Forgot password?CourseSSLC (English Medium) Class 10 Tamil Nadu Board of Secondary Education
  • Home
  • Class 1 - 4
  • Class 5 - 8
  • Class 9 - 10
  • Class 11 - 12
  • Entrance Exams
  • Search by Text or Image
  • Textbook Solutions
  • Study Material
  • Remove All Ads
  • Change mode
  • Log out
Use app×

Từ khóa » F(x)=x-6 G(x)=x2