Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Let f = {(1, 2), (3, 5), (4, 1)} and g = {(2, 3), (5, 1), (1, 3)}. Then gof = ................ and fog = ...................

Let f = {(1, 2), (3, 5), (4, 1)} and g = {(2, 3), (5, 1), (1, 3)}. Then gof = ................ and fog = ................... 

Answers (1)

\\Here, f = \{ (1, 2), (3, 5), (4, 1) \} and g = \{ (2, 3), (5, 1), (1, 3) \} \\ Then, gof(1) = g[f(1)] = g(2) = 3\\ Again, gof(3) = g[f(3)] = g(5) = 1 \\ Again, gof(4) = g[f(4)] = g(1) = 3\\ Therefore, gof = \{ (1, 3), (3, 1), (4, 3) \} \\ Again, fog(2) = f[g(2)] = f(3) = 5\\ Again, fog(5) = f[g(5)] = f(1) = 2\\ Again, fog(1) = f[g(1)] = f(3) = 5\\ Hence, fog = \{ (2, 5), (5, 2), (1, 5) \} \\

Posted by

infoexpert22

View full answer

Similar Questions

Latest Question