Free branliest to first one who answers!

wow i cant believe this took 4 weeks for another person to answer hope that the other person enjoys their brainliest :)

Step-by-step explanation:

Given function is

now we need to find the value of k such that function f(x) continuous everywhere.

We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.

So we just need to find both left and right hand limits then set equal to each other to find the value of k

To find the left hand limit (LHD) we plug x=-4 into 3x+k

so LHD= 3(-4)+k

To find the Right hand limit (RHD) we plug x=-4 into

so RHD=

Now set both equal

k=-0.47

Hence final answer is -0.47.