In each of the following, find the value of the constant k so that the given function is continuous at the indicated point :

Question

In each of the following, find the value of the constant k so that the given function is continuous at the indicated point : at x = 5

Philoid · Accepted Answer

Given:

f(x) is continuous at x = 5

If f(x) to be continuous at x = 5,thenf(5)^– ₌ f(5) ^{+ =} f(5)

LHL = f(5)^– =

⇒ 5k + 1

RHL = f(5) ⁺ =

⇒ 10

Since, f(x) is continuous at x = 5

we have,5k + 1 = 10

5k = 9

k =

The value of k is