Question

g(x)=( (x^3+7x^2+x+7)/(x+7) k, x=-7

Answer 1

Have you considered factoring the numerator. I'm almost certain there is a factor of (x+7) in there.

Answer 2

does k represent something?

Answer 3

yes i did ((x+7) (x^2+1))/(x+7) I was not sure!
Assign a value to the constant k which make g continuose

Answer 4

So, g(x) everyehwere but x = -7
and k for x = -7
Now, seriously, factor the numerator.

Answer 5

@RaguRagu have you completed the task of finding k?