Is the function `f : A rarr B` one-one and onto? : `A={1,2,3,4}, B={a,b,c,d}, f={(1,a),(2,b),(3,c),(4,d)}`

Is the function f : A rarr B one-one and onto? : A={1,2,3,4}, B={a,b,c}, f={(1,a),(2,a),(3,b),(4,c)}

Is the function f : A rarr B one-one and onto? : A={1,2,3},B={a,b,c,d},f={(1,a),(2,b),(3,c)}

Is the function f : A rarr B one-one and onto? : A={1,2,3}, B={a,b,c}, f={(1,a),(2,b),(3,b)}

Show that the function f(x)=3x+2 is one-one and onto.

State whether the following functions are invertible or not. Give reasons. : f : {2,3,4,5} rarr {a,b,c,d} defined by f={(2,a),(3,b),(4,c),(5,d)}

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 .

Prove that the function f:N rarr N defined by f(x)=x^2+2 is one-one but not onto.

Show that the function f : R rarr R , defined by f(x)=|x| is neither one-one nor onto.

Given that the universal set U = {a, b, c, d, e, f, g, h} and A = {a, b, c, d, e}, B = {a, c, e, g), C= {b, c, f, g} then determine (A-B)-C