Question

Given that f(x)={x²+3x if x≤-5
x+k if x>-5

What value of k should be chosen so that this function is continuous on (-∞, ∞)?

Answer 1

take limit of f(x) from both sides of -5, let them = together, solve for k

Answer 2

So would the answer be 15? Because that's what I got but I am not sure if I did everything correctly

Answer 3

i think you are right

Answer 4

Alright, thanks!

Answer 5

np