For the following rational function, find the domain.

$f\left(x\right)=\frac{x+a}{x-b}$ where a and b are rational numbers.

Yeast colonies can be considered cylinders of constant height. The number of yeast cells in a colony can be calculated using the linear function $N\left(A\right)=C_{s}A$, where the constant C_s is the cell-surface coefficient, and $A$ is the cross-sectional area of the colony. Debaryomyces fabryi is a yeast commonly found in all types of cheese. Determine the value of C_s for a colony of this yeast with a cross-sectional area of $50$ mm² containing $260\times{10^6}$ yeast cells. Calculate the number of yeast cells in the colony with a cross-sectional area of $100$ mm².

In a physics experiment, the force $F$ and the distance $d$ from a point are inversely proportional. If a force of $20\text{ N}$ is observed at a distance of $5\text{ m}$, what is the distance when the force is $10\text{ N}$?

Determine if the given function is even, odd, or neither: $g\left(x\right)=x^{-25}$

Find the $x$ values for which $x>1+\frac{20}{x}$ by graphing the functions $f\left(x\right)=x$ and $g\left(x\right)=1+\frac{20}{x}$ together.