Chapter 4.2, Problem 14E

(a)

To determine

To sketch:The graphwhere $h:(-\infty ,0]\to R,h\left(x\right)=3x+4\text{and}g:\left(0,\infty \right)\to R,g\left(x\right)=\frac{1}{x}$ .

(b)

To determine

To sketch:The graphwhere $h:[-1,\infty ]\to R,h\left(x\right)=x^2+1\text{and}g:\left(-\infty ,-1\right)\to R,g\left(x\right)=x+3$ .

(c)

To determine

To sketch:The graphwhere $h:(-\infty ,1]\to R,h\left(x\right)=\left|x\right|\text{and}g:[0,\infty )\to R,g\left(x\right)=3-\left|x-3\right|$ .

(d)

To determine

To sketch:The graphwhere $h:(-\infty ,2]\to R,h\left(x\right)=\cos x\text{and}g:[2,\infty )\to R,g\left(x\right)=x^2$ .

(e)

To determine

To sketch:The graphwhere $h:(-\infty ,3)\to R,h\left(x\right)=3-x\text{and}g:(0,\infty )\to R,g\left(x\right)=x+1$ .