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**live_laugh_luv27** Let $\displaystyle h(x)=2f(x) - g(x)$, where $\displaystyle f $and $\displaystyle g$ are functions satisfying:

$\displaystyle \lim_{x\to3}f(x)=-2$,

$\displaystyle \lim_{x\to3}g(x)=4$,

$\displaystyle \lim_{x\to7}f(x)=6$,

$\displaystyle \lim_{x\to7}g(x)=-5$.

Find the following:

a. $\displaystyle \lim_{x\to3}h(x)$

b. $\displaystyle \lim_{x\to7}(g(x)/h(x))$

c. $\displaystyle \lim_{x\to3}f(x)*g(x+4)$

Here are the answers I have..but I'm not sure if I'm doing the problems correctly or if my answers are correct. An explanation would be great!

a. -8

b. -5/17

c. -16