\(\text { If } \mathbf{A}=\left\{x / x^{2}-4 x+3=0\right\}B=\left\{x / x^{2}-x-6=0\right\}, C=\left\{x / x^{3}-4 x=0\right\},\)
find i) A x B
ii) A x C
iii) (A - B) x C

lf A and B be two non-empty sets, then show that A x B = B x A if A = B.

In the given ordered pairs (4, 6), (8, 4), (3, 3),(9,11), (6, 3), (3, 0), (2,3). Find the following relations. AIso, find the domain and range.
(i) is two less than
(ii) is less than
(iii) is greater than
(iv) is equal to

Let A = {2,3,4,5} and B = {8,9, 10, 11}. Let R be the relation "is factor of" from A and B.
i) Write R in the roster form. Also find Domain and Range of R.
ii) Draw an arrow diagram to represent the relation.

Given f(x) = 3x + 7, g(x) = -x + 8, h (x) = x² + 3x - 1 Prove that Composition of functions, is associative.

If 'f' and 'g' are two real valued functions defined as f(x) = 2x + 1,g(x) = x² + 1,then find
i) f + g
ii) f - g
iii) fg
iv) \(\frac{f}{g}\)