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anonymous

  • one year ago

Can someone help me find the inverse of the function f(x)=2x+1/2

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  1. Michele_Laino
    • one year ago
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    we can rewrite your function as below: \[\Large y = 2x + \frac{1}{2}\] now solve that equation for x, what do you get?

  2. anonymous
    • one year ago
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    Replace x to y x=2y+(1/2) 2y=x - (1/2) y=(x/2)- (1/4) Inverse function is (x/2)- (1/4)

  3. Michele_Laino
    • one year ago
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    please you have to find x as a function of y

  4. Michele_Laino
    • one year ago
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    starting from my equation above, we get: 2x=y-1/2 so x=...?

  5. UsukiDoll
    • one year ago
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    dude I would just swap x and y and solve for y

  6. anonymous
    • one year ago
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    1/2x-1/4?

  7. anonymous
    • one year ago
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    \[y=2x+\frac{ 1 }{ 2 } \rightarrow x= 2y+\frac{ 1 }{ 2 }\] now make y the subject

  8. Michele_Laino
    • one year ago
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    being y=f(x) and since your function admits its inverse function, then we can write: \[\Large x = {f^{ - 1}}\left( y \right) = \frac{1}{2}\left( {y - \frac{1}{2}} \right)\] now, if you want to change variable, namely y--->x then we can write: \[\Large {f^{ - 1}}\left( x \right) = \frac{1}{2}\left( {x - \frac{1}{2}} \right)\]

  9. UsukiDoll
    • one year ago
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    agreez \[f(x) = 2x+ \frac{1}{2} \] \[y = 2x+ \frac{1}{2} \] \[x = 2y+ \frac{1}{2} \] \[x - \frac{1}{2} = 2y \] \[\frac{1}{2}x - \frac{1}{4} = y \]

  10. anonymous
    • one year ago
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    Ok thanks everyone I got it, you guys helped a lot! (:

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