Q29 of 147 Page 159

Find the values of k so that the function f is continuous at the indicated point in Exercises 26 to 29.

It is given that

Also, it is given that function f is continuous at x = 5,


So, if f is defined at x = 5 and if the value of the f at x = 5 equals the limit of f at x = 5.


We can see that f is defined at x = 5 and


f(5) = kx + 1 = 5k + 1



⇒


⇒ 5k + 1 = 15 -5 = 5k + 1


⇒ 5k + 1 = 10


⇒ 5k = 9


⇒ k =


Therefore, the required value of k is.


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