Find the relationship between a and b so that the function f defined by

is continuous at x = 3.

It is given function is

It is given that f is continuous at x = 3, then, we get,

………………….(1)

And

= 3a + 1

= 3b + 1

f(3) = 3a + 1

Thus, from (1), we get,

3a + 1 = 3b + 3 = 3a + 1

⇒ 3a +1 = 3b + 1

⇒ 3a = 3b + 2

⇒ a = b +

Therefore, the required the relation is a = b + .