Which of the following best describes a rational function $R(x)$?

Consider the equation: $$\frac{5}{x^2-9}=\frac{2}{x-3}$$ Which of the following describes all values of $x$ that must be excluded from the domain?

True or False: For a rational function $f(x)=\frac{a}{x-h}+k$, if $a>0$, the function is strictly decreasing on both of its disjoint domain intervals $(-\infty ,h)$ and $(h,\infty )$.

Which of the following values is a term in the arithmetic sequence defined by $u_1=4$ and $d=0.6$?

True or False: The rational equation $\frac{x-1}{x^2-1}=\frac{1}{x+1}$ is satisfied by all real numbers except $x=1$ and $x=-1$.