Question 1165893
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The function is defined this way  f(x) = {{{3/(2x-4)}}},  correct ?


If so, then you should do the following:


    1)  Calculate  f(-1) = {{{3/(2*(-1)-4)}}} = {{{3/(-2-4)}}} = {{{3/(-6)}}} = -0.5.


    2)  Calculate  f(5) = {{{3/(2*5-4)}}} = {{{3/6}}} = 0.5.



    3)  Calculate  the difference  f(5) - f(-1) = 0.5 - (-0.5) = 0.5 + 0.5 = 1.



    4)  Relate this difference to the length of the given interval 5 - (-1) = 5+1 = 6.



        You get then the average rate of change = {{{(f(5)-f(-1))/(5-(-1))}}} = {{{1/6}}}.    <U>ANSWER</U>
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Is just something that you do not understand in my explanation ?