The function is horizontally compressed by a factor of . Write the transformed function. The transformed function is f(x) = ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of horizontal compression in logarithmic functions. The key is to identify the coefficient that results in the specified compression.
Key Concept Explanation
A horizontal compression by a factor of means that each x-coordinate of the original function is multiplied by , making the graph narrower.
Step-by-step Solution
1. Identify the given function:
2. Determine the compression factor:
3. Calculate the new coefficient:
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