Example 17 - Let f(x) = root x, g(x) = x. Find f + g, fg, f/g - Examples

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

Transcript

Example 17, Let f(x) = and g(x) = x be two functions defined over the set of nonnegative real numbers. Find (f + g) (x), (f g) (x), (fg) (x) and ( / ) (x) (f + g) (x) = f(x) + g(x) = x + x, (f g) (x) = f(x) g(x) = x x (fg) x = f(x) g(x) = x x = ^(1/2) x1 = ^(1/2+1) = ^((1+2)/2) = ^(3/2) (f/g) (x) = (f(x))/(g(x)) where, g (x) 0, x R = /(x ) = /( ) = 1/ Where , 0 x 0 (f/g) (x) = 1/ where x 0

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.