If is continuous at x = 2, find k.

Given:

f(x) is continuous at x = 2 & f(2) = k

If f(x) to be continuous at x = 2,then,

f(2)^{–} _{=} f(2) ^{+ =} f(2 )

LHL = f(2)^{–} =

(a + b)(a – b) = a^{2}–b^{2}

= 1

Since, f(x) is continuous at x = 2 and f(2) = k,then

k =

31