Let `A={a,b,c} and B={1,2,3}`. Let `f : A rarr B` be a function where `f= {(a,2),(b,1),(c,1)}` Find `f^-1`, if exists in each case.

Let A={a,b,c} and B={1,2,3} . Let f : A rarr B be a function where f= {(a,1),(b,2),(c,3)} Find f^-1 , if exists in each case.

Let A={1,2,3,4}, B={2,4,6,8} . If f : A rarr B is defined by f(x)=2x , show that (f^-1)^-1=f

Let f:R rarr R be such that f(x)=2x .Determine f(f(x).

Find the value of : |(a,h,g),(h,b,f),(g,f,c)|

If A={-2,-1,1,2} and f={(x,1/x):x} Find :Is f a function?

If A={2,3},B={1,3} and C={3,4} find A xx (B uu C) .

Let A={1,2,3,4} be a given set and f : A rarr A, g : A rarr A be two given functions such that f={(1,4),(2,1),(3,3),(4,2)} g={(1,3),(2,1),(3,2),(4,4)} Find gof, fog, fof, gog .

Let f,g: R rarr R be defined respectively by f(x)=x+1,g(x)=2x-3 .Find f+g,f-g and f/g .

If A={1,2,3},B={a,b,c} which of the following are relations from A to B? R3={(3,2),(1,c),(3,a)}

Let A=R-{3} and B=R-{1} be two given sets. Prove that the function f : A rarr B, f(x)= (x-2)/(x-3) is bijective.