Question

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

Answer 1

The given function is `(x^2 + 2x + 1)/(x^2 - 8x + 12)`

`f(x) = (x^2 + 2x + 1)/(x^2 - 8x + 12) = (x^2 + 2x + 1)/((x - 6) (x - 2))`

It can be seen that function f is defined for all real numbers except at x = 6 and x = 2.

Hence, the domain of f(x) is R – {2, 6}.