Final answer:
The zeros of the function f(x)=x²−6x+9 can be found by setting the equation equal to zero and solving for x. The only zero of the function is x=3.
Step-by-step explanation:
The zeros of the function f(x)=x²−6x+9 can be found by setting the function equal to zero and solving for x.
x²−6x+9=0
This quadratic equation can be factored as (x-3)(x-3)=0. So, the only zero of the function is x=3.
Therefore, the correct answer is C) x=3.