Suppose that the functions $f$ and $g$ are defined as follows. \begin{align*} f(x) &= \frac{1}{2x^2 + 5} \\ g(x) &= 5x^2 + 3 \end{align*} Find $f - g$ and $f \cdot g$. Then, give their domains using interval notation. $(f - g)(x) = $ Domain of $f - g$: $(f \cdot g)(x) = $ Domain of $f \cdot g$:
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So, f - g = f(x) - g(x) = (2x + 5) - (5x^2 + 3). Show more…
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