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find the inverse of f(x)= 17/x

 Aug 1, 2016
 #1
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f(x)=17/x

x=17/f(x)

1/f(x)=x/17

f-1(x)=f(x)

 Aug 1, 2016
 #2
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+5

f(x) = 17/x

 

Write this as 

 

y = 17/x      multiply both sides by x and divide both sides by y

 

x = 17/y     "exchange"  x and y

 

y = 17/x      for y, write f-1(x)

 

f-1(x)  = 17/ x         thus, amazingly..........this function is also its own inverse !!!

 

 

cool cool cool

 Aug 1, 2016

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