Let f: R → R be defined by f(x) = 3x²- 5 and g : R → R be defined by g(x) = . Find gof.

A and B are square matrices of order 3 each, |A| = 2 and |B| = 3. Find |3AB|.

What is the distance of the point (p, q, r) from the x-axis?

How many equivalence relations on the set {1,2,3} containing (1,2) and (2,1) are there in all? Justify your answer.

Let l_i, m_i and n_i; i = 1, 2, 3 be the direction cosines of three mutually perpendicular vectors in space. Show that AA’ = I₃, where A =