Find the relationship between ‘a’ and ‘b’ so that the function ‘f’ defined by is continuous at x = 3.

we have to find the value of 'a' & 'b'


Given:


f(x) is continuous at x = 3


If f(x) is be continuous at x = 3,then,f(3) = f(3) + = f(3)


LHL = f(3) =




3a – 0 × a + 1


3a + 1 .....(1)


LHL = f(3) + =




3b – 0 × b + 3


3b + 3 ...(2)


Since ,f(x) is continuous at x = 3 and From (1) & (2),we get


3a + 1 = 3b + 3


3a + 3b = 3 – 1


3a + 3b = 2


3(a + b) = 2


(a + b) =


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