Step-by-step explanation:
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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
<u>Hence final answer is -0.47.</u>
Answer:
-3-(-7)
when subtracting a negative the signs turn in to addition
-3+(+7)
4
Step-by-step explanation:
Answer:y=-y
Step-by-step explanation:
Answer:
2.22
Step-by-step explanation: