Construct an example of ONE function that satisfies all the following conditions: af$($x$)=(1)/($x$^(2)-2$x$),$ what is the domain of this function? For what values of x in the domain is f$($x$)>0$ and for what values is f$($x Starting with a linear function whose equation is given as a straight line of the form ax$+$by$=1,$ find the rate of change of the function between the points x$=1$ and x$=2.$ How does this value relate to the slope of this straight line. Without performing any calculations, what would the rate of change be between x$=1000$ and x$=10000?$ Justify. Explain the conceptual differences between the following pairs: af$($x$)$g$($x$)$ and f$($g$($x$)).$