The rule "rx−axis" typically refers to reflecting the function across the x-axis. When you reflect a function \( f(x) \) across the x-axis, the new function \( g(x) \) is obtained by taking the negative of \( f(x) \).
Given the function:
\[ f(x) = -2x + 1 \]
To reflect it across the x-axis, we multiply by -1:
\[ g(x) = -f(x) = -(-2x + 1) = 2x - 1 \]
Thus, the correct function \( g(x) \) based on the reflection across the x-axis is:
\[ g(x) = 2x - 1 \]
So the answer is:
g(x) = 2x−1
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