InterviewSolution
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InterviewSolution
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If the function `fa n dg`are given by `f={(1,2),(3,5),(4,1)}a n dg="("(2,3),(5,1),(1,3)"}",`find range of `fa n dg`. Also, write down `foga n dgof`as sets of ordered pairs. |
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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)}.` |
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