Question

Find the domain of the function $f(x)=\frac {x^2+2x+1}{x^2-8x+12}$

Answer 1

The given function is:

$f(x)=\frac {x^2+2x+1}{x^2-8x+12}$

$f(x)=\frac {x^2+2x+1}{(x-6)(x-2)}$

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 is R-{2, 6}.