Last updated at Dec. 8, 2016 by Teachoo

Transcript

Misc 7 Let f, g: R โ R be defined, respectively by f(x) = x + 1, g(x) = 2x โ 3. Find f + g, f โ g and ๐/๐ f(x) = x + 1, g(x) = 2x โ 3 (f + g) (x) = f(x) + g(x) = (x + 1) + (2x โ 3) = 3x โ 2 โด(f + g) (x) = 3x โ 2 (f โ g) (x) = f(x) โ g(x) = (x + 1) โ (2x โ 3) = x + 1 โ 2x + 3 = โ x + 4 โด (f โ g) (x) = โx + 4 (f/g) (x) = (f(x))/(g(x)) where, g (x) โ 0, x โ R = (x + 1)/(2x โ 3) Where , 2x โ 3 โ 0 2x โ 0 + 3 2x โ 3 x โ 3/2 โด(f/g) (x) = (x + 1)/(2x โ 3) , where x โ 3/2

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.