2 votes 2 votes Let f and g be the functions from the set of integers defined by $f(x) = 2x+3$ and $g(x) =3x+2$. Then the composition of f and g and g and f is given as 6x+7, 6x+11 6x+11, 6x+7 5x+5, 5x+5 None of the above Set Theory & Algebra ugcnetcse-dec2013-paper2 algebra function-composition + – go_editor asked Jul 26, 2016 recategorized Nov 11, 2017 by Sanjay Sharma go_editor 6.7k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 3 votes 3 votes A will be ans. f(g) = 2(3x+2)+3= 6x+7 g(f)= 3(2x+3)+2 = 6x+11 g Prashant. answered Jul 26, 2016 selected Sep 19, 2016 by Sankaranarayanan P.N Prashant. comment Share Follow See 1 comment See all 1 1 comment reply Sitthaandi commented Dec 8, 2020 reply Follow Share Option should be B Compostion of f and g is g o f Composition of g and f is f o g 0 votes 0 votes Please log in or register to add a comment.
2 votes 2 votes Given f(x) = 2x + 3 g(x) = 3x + 2 (fog)(x)= f( g(x) ) f( g(x) ) = f(3x + 2)= 2 (3x+2) +3 = 6x + 7 (gof)(x)= g( f(x) ) g( f(x) ) = g (2x + 3) = 3 (2x + 3) +2 = 6x +11 Hence,Option(A)6x + 7 ,6x +11. LeenSharma answered Jul 26, 2016 LeenSharma comment Share Follow See all 0 reply Please log in or register to add a comment.