Which of the following best defines the composition f∘g of two functions f and g and correctly identifies the inside and outside functions?

Let $f\left(x\right)=x^2+3x-10$ and $g\left(x\right)=x-2$. Compute $(f\circ g)\left(x\right)$.

Let $f\left(x\right)=\frac{1}{x-2}$ and $g\left(x\right)=\sqrt{x}$. Find the domain of $(f\circ g)\left(x\right)$ expressed in interval notation.

A sensor is reading over time, where $t\ge 0$ is given by: $R\left(t\right)=50-0.1t$, which is written using arbitrary units. A calibration function is: $C\left(x\right)=2x+10$, and a safety check computes: $S\left(y\right)=\sqrt{y-40}$. Determine the set of times $t$ for which the composed safety reading: $(S\circ C\circ R)\left(t\right)$ is defined. Express your answer as an interval(s) of $t$.

Let $f\left(x\right)=x+1$ and $g\left(x\right)=\frac{1}{x}$ for $x\ne 0$. Compute both $(f\circ g)\left(x\right)$ and $(g\circ f)\left(x\right)$ and determine whether they are equal.