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Math Help - Find the Inverse

  1. #1
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    Find the Inverse

    (1) Find the inverse of the linear function
    f(x) = mx + b, m does not = 0.

    (2) Find the inverse of the function
    f(x) = sqrt{r^2 - x^2}, 0 < or = to x < or = to r
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by magentarita View Post
    (1) Find the inverse of the linear function
    f(x) = mx + b, m does not = 0.
    f(x)=mx+b

    y=mx+b

    Interchange the x and y. Then, solve for y.

    x=my+b

    my=x-b

    y=\frac{x-b}{m}

    Quote Originally Posted by magentarita View Post

    (2) Find the inverse of the function
    f(x) = sqrt{r^2 - x^2}, 0 < or = to x < or = to r
    Actually, Earboth did a good job of explaining this one here: http://www.mathhelpforum.com/math-he...functions.html

    And yes, you take the square root of both sides. The inverse is the same as the original function.
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  3. #3
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    Thanks....

    Quote Originally Posted by masters View Post
    f(x)=mx+b

    y=mx+b

    Interchange the x and y. Then, solve for y.

    x=my+b

    my=x-b

    y=\frac{x-b}{m}



    Actually, Earboth did a good job of explaining this one here: http://www.mathhelpforum.com/math-he...functions.html

    And yes, you take the square root of both sides. The inverse is the same as the original function.
    Thank you so much for your great help.
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