Using data from 2009 through 2015, the percent of households with internet access in a certain region can be modeled by the function f(x)=51.952x0.16 to the number of years after 2005. a. Find the formula for the inverse of the function f. b. If the inverse is f−1, find f−1.(f(20))

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Using data from 2009 through 2015, the percent of households with internet access in a certain region can be modeled by the function f(x)=51.952x0.16 to the number of years after 2005.  a. Find the formula for the inverse of the function f.  b. If the inverse is f−1, find f−1.(f(20))

un4t5o4v · Accepted Answer

Step 1  Solve for function inverse  Step 2  f(x)=51.952x0.160  Now x=51.952[f(x)]0.160  x51.952=[f(x)]0.160  [x51.952]10.160=f(x)  Now f−1(x)=(x51.952)10.160  a) F−1(x)=(x51.952)10.160  b) F−1(F(20))=F−1(51.952(20)0.160)  =(51.952(20)0.16051.952)10.160  =[(20)0.160]10.160  f−1(f(20))=20

Using data from 2009 through 2015, the percent of households with internet acces

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