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  • 12-04-2022
  • Mathematics
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What is the inverse of the function F (X) equals 2X +1

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Hemo4
Hemo4 Hemo4
  • 12-04-2022

Answer: [tex]f^{-1}(x)=\frac{x-1}{2}[/tex]

Step-by-step explanation:

To find the inverse of a function start by replacing f(x) with x and replace the original x with y.

[tex]f(x)=2x+1\\x=2y+1[/tex]

Now solve for y

[tex]x=2y+1\\x-1=2y+1-1\\x-1=2y\\\frac{x-1}{2} =\frac{2y}{2}\\\frac{x-1}{2} =y[/tex]

Finally, replace y with the inverse of f(x), [tex]f^{-1}(x)[/tex]

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