Stephens Lambert
02/01/2023 · Middle School
What are the zeros of \( f(x)=x(x-9) \) ? A. \( x=9 \) only B. \( x=0 \) only C. \( x=0 \) and \( x=-9 \) D. \( x=0 \) and \( x=9 \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find the zeros of the function \( f(x) = x(x - 9) \), we need to set the function equal to zero and solve for \( x \):
\[
f(x) = 0 \implies x(x - 9) = 0
\]
This equation can be satisfied if either factor is equal to zero:
1. \( x = 0 \)
2. \( x - 9 = 0 \implies x = 9 \)
Thus, the zeros of the function \( f(x) \) are \( x = 0 \) and \( x = 9 \).
The correct answer is:
D. \( x=0 \) and \( x=9 \)
Quick Answer
The zeros are \( x=0 \) and \( x=9 \).
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