bretthawkins19p54sku bretthawkins19p54sku
  • 09-04-2018
  • Mathematics
contestada

What is the inverse of the function below? F(x) = 5x - 2

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kacb
kacb kacb
  • 09-04-2018
The inverse would be 

f^-1(x) = x/5 - 2/5  


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altavistard
altavistard altavistard
  • 09-04-2018
1.  replace F(x) by y:      y = 5x - 2
2.  interchange x and y:  x = 5y - 2
3.  solve for y:  5y = x + 2, so y = (x + 2)/5
4.  replace y with 
        -1             -1          x +  2
     F    (x):      F   (x) = ---------    (answer)
                                         5
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