y = x ( x-6) ^2
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x-6
The domain is the values that x can take
The denominator cannot be zero
x-6 cannot equal zero
x-6 =0
x=6
X can be all values but 6
x | x cannot equal 6
To find the x intercepts, set y =0
This means the numerator is equal to zero
0 = x ( x-6)^2
Using the zero product property
x=0 (x-6)^2 =0
x =0 x-6 =0
x=0 x=6
but 6 is not in the domain so x cannot equal 6
The only x intercept is 0