Chapter 1.2, Problem 35E

(a)

To determine

The compositionfunction $\left(f\circ g\right)\left(x\right)$ and the domain of $f\circ g$ for the functions $f\left(x\right)=x^2-3x\text{ and }g\left(x\right)=\sqrt{x+2}$ .

(b)

To determine

The composition function $\left(g\circ f\right)\left(x\right)$ and the domain of $g\circ f$ for the functions $f\left(x\right)=x^2-3x\text{ and }g\left(x\right)=\sqrt{x+2}$ .