Question
Let$f(x)=\frac{4}{x^{2}-1} \quad$ and $\quad g(x)=\frac{4 x^{2}+8 x+4}{x^{3}-1}$Find each of the following.a) $(f \cdot g)(x)$b) $(f / g)(x)$c) $(g / f)(x)$
Step 1
We can factorize $g(x)$ as follows: \[g(x)=\frac{4(x^{2}+2x+1)}{x^{3}-1}=\frac{4(x+1)^{2}}{x^{3}-1}\] Show more…
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