Posted by Connor on Tuesday, August 31, 2010 at 7:27pm.
thats supposed to be a fraction all equel to f(x).
A function is not defined if the denominator is zero
So we just have to look at the bottom which I will assume is
2x^3 - 4x^2 - 40x + 80
by grouping
= 2x^2(x-2) - 40(x-2)
= (x-2)(2x^2 - 40)
so x-2 cannot be zero, or x ≠ 2
or
2x^ - 40 ≠ 0
x^2 ≠ 20
x ≠ ±√20 or ±2√5
so x ≠ 2, 2√5, -2√5
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