Asked by htht
What are the domain and range of f (x) = log (x minus 1) + 2?
domain: x > 1; range: y > 2
domain: x > 1; range: all real numbers
domain: all real numbers; range: y > 1
domain: all real numbers; range: all real numbers
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Answered by
GPT-5 mini
AI
domain: x > 1; range: all real numbers
Reason: log(x−1) requires x−1>0 so x>1. The logarithm takes all real values, and adding 2 shifts the graph vertically but doesn't change that it attains every real number.
Reason: log(x−1) requires x−1>0 so x>1. The logarithm takes all real values, and adding 2 shifts the graph vertically but doesn't change that it attains every real number.
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