Answer
$\dfrac{1}{4}$
Work Step by Step
Let $f(x)$ be the function.
Now, $f (-2)=3$
or, $k (2 -(-2)-(2)^3)=3$
or, $k(2+2+8)=3 \implies k =\dfrac{3}{12}$
Thus, $k=\dfrac{1}{4}$
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