Work out `(1)^5, (–1)^3, (–1)^4, (–10)^3, (–5)^4.`

Which of the following relations are functions form A = (1,3,5,7,9) to B = (1,2,3,4,5). f= ((3,1), (5,1), (7,1), (9,1))

Fill in the blank: Let f = (1,2), (3,5), (4,1) and g = (2,3), (5,1), (1,3) then gof = _______and fog = _________.

Let X = {1, 2, 3, 4} and Y = {1, 3, 5, 7,9} . Which of the following is relations from X to Y (i) R_(1) = {(x, y):y=2+x,x inX, yinY} (ii) R_(2) = {(1, 1), (2, 1), (3, 3), (4, 3), (5, 5)} (iii) R_(3) = {(1, 1), (1, 3), (3, 5), (3, 7), (5, 7)} (iv) R_(4) = {(1, 3), (2, 5), (2, 4), (7, 9)}

If {:2[(3,4),(5,x)] + [(1,y ),(0,1)] = [(7,0),(10,5)] , find (x-y).

Points (1,-1),(2,-2),(4,-5) and (-3,-4)

Show that the points (5, - 1, 1),(7, - 4, 7), (1, - 6, 10) and (- 1, -3, 4) are the vertices of a rhombus.

If f:(1,3,4} rarr {1, 2,5} and g:(1,2,5) {1,3} be given by f = {(1, 2), (3,5),(4, 1)} and g: {(1,3), (2, 3), (5, 1)}, write down gof.