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    Finding the equation of the circle given two points and a tangent line

    Homework Statement Find the equation of the circle that passes through the point (3,-2) and tangent to the line y=3x+5 at (-1,2). Answer in standard form. Homework Equations d= |mx0+b-y0| ____________ sqrt(1+m2 is needed to find the radius of the circle (x-h)2+(y-k)2=r2...
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    Trouble finding the Linear Functions that satisfy the given Identity

    Thanks a lot! For the first problem the answer would be: f(x) = √2x + (-1+√2) and f(x) = √2x + (-1-√2) right? I have yet to do the second one.
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    Trouble finding the Linear Functions that satisfy the given Identity

    Homework Statement Given f[f(x)] = 2x + 1 find all linear functions that satisfy this identity. Given f[f[f(x)]] = 2x + 1 find all linear functions that satisfy this identity. 2. The attempt at a solution I have not started to attempt a solution at this because I have no idea how to...
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