Question

find the zeros of the function f(x).
f(x) = (x - 3)(x - 9)
write your answer as a list of values separated by commas.
x =

Explanation:

Step1: Set function to zero

To find the zeros of \( f(x) \), we set \( f(x) = 0 \). So we have the equation \( (x - 3)(x - 9)=0 \).

Step2: Apply zero - product property

The zero - product property states that if \( ab = 0 \), then either \( a = 0 \) or \( b = 0 \) (or both).
For \( (x - 3)(x - 9)=0 \), we set \( x - 3 = 0 \) or \( x - 9 = 0 \).

• Solving \( x - 3=0 \):

Adding 3 to both sides of the equation \( x - 3 = 0 \), we get \( x=3 \).

• Solving \( x - 9 = 0 \):

Adding 9 to both sides of the equation \( x - 9 = 0 \), we get \( x = 9 \).

Answer:

3, 9