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Find the domain for the f(x) `F(x)(x+1)/(x2-2x+1)`  

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ranger1980 | Student, Undergraduate | Valedictorian

Posted October 26, 2013 at 8:23 PM via web

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Find the domain for the f(x)

`F(x)(x+1)/(x2-2x+1)`  

Tagged with elementary functions, math

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flbyrne | (Level 3) Assistant Educator

Posted October 26, 2013 at 8:39 PM (Answer #1)

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Solve `x^2-2x+1=0` to determine the values of x for which the denominator is 0, so the function would be undefined.

Solve by factoring:

`(x-1)^2=0`

`x=1`

The function `f(x)=(x+1)/(x^2-2x+1)` is undefined for x=1, then there is an asymptote at x=1.

The domain of the function is x>1 and x>1.

Graph of `(x+1)/(x^2-2x+1)` in black and `x^2-2x+1` in red.

 

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