Question 1 - Miscellaneous - Chapter 1 Class 12 Relation and Functions
Last updated at August 11, 2026 by Teachoo
Miscellaneous
Misc 1
Important
You are here
You are here
Chapter 1 Class 12 Relation and Functions
Serial order wise
Take a fresh quiz. Then take another.
Every attempt is a new AI-adaptive Teachoo quiz with 3 questions, selected from your answers, mistakes, and progress.
Transcript
Question 1 Let f : R โ R be defined as f(x) = 10x+ 7. Find the function g : R โ R such that gof= fog= IR Here g is the inverse of f Finding inverse of f f(x) = 10x + 7 Let f(x) = y y = 10x + 7 y โ 7 = 10x 10x = y โ 7 x = (๐ โ ๐)/๐๐ Let g(y) = (๐ โ ๐)/๐๐ where g: R โ R Now, we have to check the condition gof = fog = IR Finding gof gof = g(f(x)) = g(10x + 7) = ((10๐ฅ + 7) โ 7)/10 = (10๐ฅ + 7 โ 7)/10 = 10๐ฅ/10 = x = IR Finding fog fog = f(g(y)) = f((๐ฆ โ 7)/10) = 10 ((๐ฆ โ 7)/10) + 7 = y โ 7 + 7 = y + 0 = y = IR Since gof = fog = IR, โด f is invertible & Inverse of f = g(y) = (๐ โ ๐)/๐๐
