Quick Math Question

Discussion in 'GR Classic Archive' started by RealisticHat, Jan 22, 2006.

  1. RealisticHat

    RealisticHat Well-Known Member

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    Find an expression for the inverse function for the general linear function f(x)=mx+b, with m does not equal 0, in terrms of m,b, and x.

    Would the inverse be x=my+b since you switch out the x's and y's? I am lost so the first person to respond with the correct answer will receive 30 creds.
     
  2. arslaan

    arslaan Well-Known Member

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    inverse of f(x)=( x-B )/m

    How you do it:
    set f(x)=y

    y=mx+b
    y-b=mx

    ( y-b )/m=x
    swap x's and y's around.

    ( x-b )/m=y

    set y=inverse f(x)

    f(x)=( x-b )/m

    i was studying this for my maths exam tomorrow, very wierd that i happen to stumble across it here...
     
  3. RealisticHat

    RealisticHat Well-Known Member

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    How? I was under the impression for the inverse you had to switch out the y's and x's or was that for something else?
     
  4. arslaan

    arslaan Well-Known Member

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    take a look at edited post. i was editing before you posted so i wasn't sure if you'd see this or not. i'm very sure it works.
     
  5. Λtreyu

    Λtreyu Well-Known Member

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    the answer is 42. It is always 42.
     
  6. RealisticHat

    RealisticHat Well-Known Member

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    Ok that looks right. I'll send you 30 creds as promised.
     
  7. arslaan

    arslaan Well-Known Member

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    no problem. you doing A level maths or something? If so, my C3 exams tomorrow :(
    i am soooooooo worried about it.
     
  8. RealisticHat

    RealisticHat Well-Known Member

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    I am doing Algebra 2 honors as a freshmen,in highschool. Good luck with your exam tommorow. You seem to know your stuff.
     
  9. arslaan

    arslaan Well-Known Member

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    thanks man, i need it. i'll be studying for another 3-4 hours though i think...
     
  10. D4rX

    D4rX Well-Known Member

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    Actually when you find the inverse of any equation you should exchange the x and y before you do anything else. Then you solve for y and yur done.
     
  11. michaelo123

    michaelo123 Well-Known Member

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    lol i dont understand that one bit at all,and im in tear 11 and nearly got exams soon :(
     
  12. Phaze_

    Phaze_ Well-Known Member

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    lol nice....
     
  13. Greasy Pete

    Greasy Pete Senior Member

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    well i see how you get x=my+b from y=mx+b but i dont think you can jsut change the variables like that, theres prolly more.
     
  14. Λtreyu

    Λtreyu Well-Known Member

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    wouldn't that only work if x=y?
     
  15. xlink

    xlink GR's Tech Enthusiast

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    I did algebraII as a freshman as well... just switch the two variables to do this... simple as that... have fun with logarithms when you get to them.

    he's trying to find the inverse equation. he wants the graph to be refleceted across the line y=x
     

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