Question
Find the zero of the linear function. \( f(x)=x+6 \)
Ask by Wagner Griffin. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The zero of the function \( f(x) = x + 6 \) is \( x = -6 \).
Solution
To find the zero of the function f(x) = x + 6, set f(x) equal to zero and solve for x.
Step 1: Write the equation for the zero:
x + 6 = 0
Step 2: Solve for x by subtracting 6 from both sides:
x = -6
Thus, the zero of the function is x = -6.
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Simplify this solution Beyond the Answer
To find the zero of the linear function \( f(x)=x+6 \), you'll want to set the function equal to zero and solve for \( x \). This means you need to solve the equation \( x + 6 = 0 \). By subtracting 6 from both sides, you get \( x = -6 \). So, the zero of the function \( f(x) \) is \( x = -6 \). Now, isn't it interesting that finding the zero of a function gives you the x-coordinate where the graph crosses the x-axis? This isn’t just math; it’s like uncovering the secrets of a treasure map! When \( f(x) \) is zero, it means the output is neutral—like a referee blowing the whistle for a timeout in a game.
