Let $f:R\to R; f\left(x\right)=\frac{x}{c}$ where $c$ is a constant. Find  $\left(c^{2}f\right)\left(x\right)$

Let $f:R\to R; f\left(x\right)=\frac{x}{c}$ where $c$ is a constant. Find $\left(\frac{1}{c} f\right)\left(x\right)$

Let $f:(2,\infty )\to R:f\left(x\right)=\sqrt{x-2}$  and$g:(2,\infty )\to R: g\left(x\right)=\sqrt{x+2}$. Find  $\left(f+g\right)\left(x\right)$.

Let $f:(2,\infty )\to R:f\left(x\right)=\sqrt{x-2}$ and $g:(2,\infty )\to R:g\left(x\right)=\sqrt{x+2}$. Find $( f-g)\left(x\right)$

Let $f:(2,\infty )\to R:f\left(x\right)=\sqrt{x-2}$ and $g:(2,\infty )\to R:g\left(x\right)=\sqrt{x+2}$. Find $\left(fg\right)\left(x\right)$