Find the domain of the function `f(x)" "=(x^2+2x+1)/(x^2-8x+12)`

Explanation

As we know that, f(x) is defined for all real values of x, except for the case when

`x^2 – 8x + 12 = 0`

` x^2 – 8x + 12 = 0 `

`x^2 – 2x – 6x + 12 = 0`

`x(x – 2) – 6(x – 2) = 0`

`(x – 2)(x – 6) = 0 `

`x – 2 = 0 or x – 6 = 0 `

`x = 2 or 6 `

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