Need help on this thank you
2 answers:
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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>
As, synthetic division by -4 gives remainder 0. Hence, Option B is correct. -4 is a root of
As, x+4=0 gives x=-4.
So, option C is correct,
(x+4) is factor of
Option E is correct
