If f:A → B and g:B → C are onto, then gof:A → C is

Let L be the set of all lines in the plane and R be the relation in L, defined as: R = {(L₁, L₂):L₁ is perpendicular to L₂}

Let F: x →y be a given function, then f^--1 exists ( or f is invertible) if 

If the function f:R → R given by f(x) = x² + 3x + 1 and g: R → R given by g(x) = 2x - 3, find fog

If n(A) = 4 and n(B) = 2 then the number of surjections from A to B is

Let f(x) = cosx, then f(x) is an

The range of function f(x) = [x] is

Let f:{2, 3, 4, 5} → {3, 4, 5, 9} and g = {3, 4, 5, 9} → {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(11) = 11
Find gof (5)

If f:R → R is defined by f(x) = x² - 3x + 2 then f(f (x)) =

Let A,B be two sets each with 10 elements. Then the number of all possible bijections from A to B is