Hi,

I hope someone can help. I'm trying to figure out the domain for the product of f(x) and g(x).

f(x) = $\displaystyle \log_{10}(x+3)^2$

g(x) = $\displaystyle \sqrt{x-1}$

I know that the domain for f(x) is x > -3 and the domain for g(x) is $\displaystyle x \leq -1$ or x $\displaystyle \geq 1$.

According to my textbook the domain for the product of f(x) and g(x) is $\displaystyle x \leq -1$ or x $\displaystyle \geq 1$, and x does not equal -3. However wouldn't the domain just be x > -3?

Please let me know.

- Olivia