Example 16 - Let f(x) = x2 and g(x) = 2x + 1. Find f + g, fg,f/g - Examples

  1. Chapter 2 Class 11 Relations and Functions
  2. Serial order wise

Transcript

Example 16, Let f(x) = x2and g(x) = 2x + 1 be two real functions.Find (f + g) (x), (f g) (x), (fg) (x), ("f" / ) (x) f(x) = x2 & g(x) = 2x + 1 (f + g) (x) = f(x) + g(x) = (x2) + (2x + 1) = x2 + 2x + 1, (f + g) (x) = x2 + 2x + 1 (f g) (x) = f(x) g(x) = (x2) (2x + 1) = x2 2x 1 (f g) (x) = x2 2x 1 (fg) (x) = f(x) g(x) = x2 (2x + 1) = x2 (2x) + x2 (1) = 2x3 + x2, (fg) (x) = 2x3 + x2, (f/g) (x) = (f(x))/(g(x)) where, g (x) 0, x R = x2/(2x + 1) Where , 2x + 1 0 2x 0 1 2x 1 x ( 1)/2 (f/g) (x) = x2/(2x + 1) , where x ( 1)/2

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.