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DOES ANYONE KNOW HOW TO SOLVE INVERSES ON myalgebra.com?

How do you type the format? Here is an example; find the inverse g(x)=5x+5

g^1(x)=?

2 Answers

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  • Anonymous
    8 years ago

    I'm not sure how to solve inverses on the website, but it's really easy if you look closely.

    g(x)=(insert x value here) is the same as saying y=(insert x value here.

    So, saying g(x)=5x+5 is the same as saying y=5x=5.

    To find the inverse for this equation, you just switch x and y, and then solve for y.

    For example:

    g(x)=5x+5

    y=5x+5

    x=5y+5

    x-5=5y

    ((x-5)/5)=y

    y=(x-5)/5 is the inverse (or g(x)=(x-5)/5 is the inverse, if you prefer it that way).

    Another example (harder this time):

    z(x)=17.5x+(-|5.5x|)-14

    y=17.5x+(-|5.5x|)-14

    y=17.5x-5.5x-14

    y=12.5x-14 (Now the equation is in simplest form)

    x=12.5y-14

    y=(x+14)/12.5

    z(x)=(x+14)/12.5 is the inverse.

    If you need more help, feel free to shoot me a message. :)

  • ?
    Lv 7
    8 years ago

    g(x) = 5x + 5

    y = 5x + 5

    Switching y and x

    x = 5y + 5

    5y = x - 5

    y = (x - 5)/5

    g^-1(x) = (x - 5)/5

    The example

    g(x) = 17.5x + (-|5.5x|) - 14

    y = 17.5x + (-|5.5x|) - 14

    = 17.5x - √ ̅(5.5x)^2 - 14

    √ ̅(5.5x)^2 = 17.5x - 14 - y

    (5.5x)^2 = (17.5x - 14 - y)^2

    Switching x and y

    (5.5y)^2 = (17.5y - 14 - x)^2

    5.5y = ±√ ̅(17.5y - 14 - x)^2

    For +

    5.5y = 17.5y - 14 - x

    y = (x + 14)/12

    For -

    5.5y = -(17.5y - 14 - x)

    y = -(x + 14)/23

    So

    g^-1(x) = (x + 14)/12 or

    g^-1(x) = -(x + 14)/23

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