Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Need solution for RD Sharma Maths Class 12 Chapter Function Exercise 2.2 Question 8

Need solution for RD Sharma Maths Class 12 Chapter Function Exercise 2.2 Question 8.

Answers (1)

Answer : f\; o\; g=g\; o\; f=I_{R}

Hint : g\; o\; f means f(x) function is in g(x) function

         f\; o\; g means g(x) function is in f(x) function

Given : f:R \rightarrow R and g:R \rightarrow R are defined by

            \\f(x)=x+1\\g(x)=x-1

Solution :

  \begin{aligned} &f \circ g(x)=f(g(x))=f(x-1) \\ &f \circ g(x)=x-1+1 \\ & f \circ g(x)=x=I_{R} \end{aligned}                                        .....(i)

Similarly,

 \begin{aligned} &g \circ f(x)=g(f(x))=g(x+1) \\ &g \circ f(x)=x+1-1 \\ &g \circ f(x)=x=I_{R} \end{aligned}                                      ..... (ii)

From equation (i) and (ii)

f\; o\; g=g\; o\; f=I_{R}

Hence proved : f\; o\; g=g\; o\; f=I_{R}

Posted by

infoexpert23

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14
anam-khan

CBSE Board Exams 2025: Online portal for availing exemptions by CWSN students opens
anam-khan

Board Exams: States agree to equivalence; no question paper ‘jumbling’ from next year, says PARAKH CEO

Latest Question