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Let

f(x) = a/b*x if x <= -4

f(x) = abx if x > -4

 

If f(-4) = -60/13 and f(4) = 3120, what is a + b?

 Sep 2, 2021
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4 is greate than -4    so  the  second portion becomes   ab(4) = 3120

 -4   is for the first part   a/b (-4) = -60/13

 

4 ab = 3120

ab = 780  

b = 780/a        

 

                 -4 a/b = -60/13

                 -4a / (780/a) = -60/13

                    a^2 / 195   = 60/13

                     a = sqrt [ 60(195)/13]    = 30      then b = 780/30=26    you can finish .......

 Sep 2, 2021

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