InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
If the function f and g are given by `f={(1,2),(3,5),(4,1)} and g={(2,3),(5,1),(1,3)},`find range of f and g. Also write down `fog` and `gof"`as set of ordered pairs. |
|
Answer» `f = {(1,2),(3,5),(4,1)}` and `g = {(2,3),(5,1),(1,3)}` `:.` Range of `f = {2,5,1}` `:.` Range of `g = {3,1}` Now, `fog(2) = f(g(2)) = f(3) = 5` `fog(5) = f(1) = 2` `fog(1) = f(3) = 5` `:. fog = {(2,5),(5,2),(1,5)}` Now, `gof(1) = g(f(1) )= g(2) = 3` `gof(3) = g(5) = 1` `gof(4) = g(1) = 3` `:. gof = {(1,3),(3,1),(4,3)}.` |
|