Q15 of 118 Page 3

Let A and B be two sets such that n(A) = p and n(B) = q, write the number of functions from A to B.

For each value of set A, we can have q functions as each value of A pair up with all the values of B.

So, total number of functions from A to B =q× q× q…..{p times}

=q^p

Write the domain and range of

Write the domain and range of function f(x) given by

Let f and g be two functions given by

f = {(2, 4), (5, 6), (8, -1), (10, -3)} and g = {(2, 5), (7, 1), (8, 4), (10, 13), (11, -5)}.

Find the domain of f + g.

Find the set of values of x for which the functions f(x) = 3x² – 1 and g(x) = 3 + x are equal.