Answer:

To find the zero of the function, find the value/s of x when f(x) = 0.

f(x)=x²-6x+9

0=x²-6x+9

0=x²-3x-3x+9

0=x(x-3)-3(x-3)

0=(x-3)(x-3)

0=(x-3)²

0=x-3

3=x

x=3

Hence, the zero of the function is x=3.