Assing a value to the constant "k" which will make g continuous.

Question

Assing a value to the constant "k" which will make g continuous.

 

g(x) = {(x^3+7x^2+x+7)/(x+7), when x is not = to -7

g(x) = { k, when x =-7

 

With other problems like this in the past you have to set them equal to each other and plug in the number but that gives me the result 0/0. I'm stumped.

Answer 1

So,  k should be 50

Answer 2

g(x) = (x³ + 7x² + x + 7) / (x + 7)

g(x) = (x + 7)(x² + 1) / (x + 7)             If x ≠ -7, reduce

g(x) = x² + 1

g(-7) = 49 + 1

g(-7) = 50