Let f : {1, 3, 4} `rarr` {1, 2, 5} and
g : {1, 2, 5} `rarr` (1, 3} be given by
f = {(1,2), (3,5), (4,1)} and
g = {(1,3), (2,3), (5,1)}
Write down g o f

If the mapping of f and g are given by F={(1,2),(3,5),(4,1) ang g={(2,3),(5,1),(1,3)} then write fog.

Let f:{1,2,3}rarr{3,5,7} and g:{3,5,7}rarr{7,23,47} given by f(1)=3,f(2)=5,f(3)=,g(3)=7,g(5)=23,g(7)=47 (i).Find gof

Let f:{2,3,4,5} rarr {3,4,5,9} and g:{3,4,5,9} rarr{7,11 , 15} be functions defined as f(2)=3 , f(3) =4 , f(4)=f(5)=5 and g(3)=g(4)=7 and g(5)=g(9)=11 . Find gof .

If f : R rarr R be given by f(x) = (3 - x^3)^(1/3) , then (f o f) (x) is

Consider f : {1, 2, 3} rarr {a, b, c} given by f(1) = a, f(2) = b and f(3) = c. find f^(-1) and show that (f^(-1))^(-1) = f

If A = [(1,1,-2),(2,1,-3),(5,4,-9)] . Find |A|

Let f:{1,3,4}to{3,4,5} and g:{3,4,5}to{6,8,10} be functions defined by f(1)=3,f(3)=4,f(4)=5 , g(3)=6,g(4)=8,g(5)=8 ,then (gof)(3) =……...

Let S = {1, 2, 3}. Determine whether the function f : S rarr S defined as below have inverses. Find f^(-1) , if it exists (a) f = {(1,1), (2,2), (3,3)} (b) f = {(1,2), (2,1), (3,1)} ( c ) f = {(1,3), (3,2), (2,1)}

Let f = {(1,1),(2,8),(3,27),(4,64),} be a function write a formula for f (x)

Let A = {1, 2, 3}, B { 4, 5, 6} and let f = {(1,4),(2,5)(3,6)} be a function from A to B. Show that f is one-one.