Misc 1 - Let f(x) = 10x+ 7. Find g such that gof = fog = IR - Finding Inverse

Slide4.JPG
Slide5.JPG

  1. Chapter 1 Class 12 Relation and Functions
  2. Serial order wise
Ask Download

Transcript

Misc 1 Let f : R R be defined as f(x) = 10x+ 7. Find the function g : R R such that gof= fog= IR Here g is the inverse of f Finding inverse Step 1 f(x) = 10x + 7 Let f(x) = y y = 10x + 7 y 7 = 10x 10x = y 7 x = 7 10 Let g(y) = 7 10 where g: Y N Step 2: gof = g(f(x)) = g(10x + 7) = 10 + 7 7 10 = 10 + 7 7 10 = 10 10 = x = IR Step 3: fog = f(g(y)) = f 7 10 = 10 7 10 + 7 = y 7 + 7 = y + 0 = y = IR Since gof = fog = IR, f is invertible & Inverse of f = g(y) = 3 4

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.