Question10.1 Given $f(x)=3-x^{2}$ (with domain $\left.(-\infty, \infty)\right)$, $g(x)=2-x($ with domain $(-\infty, \infty))$, $h(x)=\frac{1}{x}$ (with domain $\left.(0, \infty)\right)$, find the following compositions (a) $f \circ g$ (b) $g \circ f$ (c) $f \circ h$ (d) $g \circ h$ (+) hof; What is the domain this function? $(+)$ hog; What is the domain this function? 10.2 Determine the inverses of the following functions (a) $f(x)=4-5 x$, (with domain $(-\infty, \infty)$ ) (b) $h(x)=x^{2}-3 x+2$, (with domain $\left.\left.(2, \infty)\right)\right]$ $(+) f(x)=\frac{2 x+1}{3-x}$, (also find the domain and range of $\ell$ and of $f^{-1}$ )