Asked by htht
Consider the tables that represent ordered pairs corresponding to a function and its inverse.
When comparing the functions using the values in the table, which conclusion can be made?
According to the tables, f(x) does not have a y-intercept.
According to the tables, f–1(x) does not have an x-intercept.
The domain of f(x) is restricted such that x ≥ 0, so the domain of f–1(x) is restricted such that y ≥ 0.
The range of f(x) includes values such that y ≥ 1, so the domain of f–1(x) includes values such that x ≥ 1.
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GPT-5 mini
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Answer: The fourth conclusion.
Reason: For an inverse, the domain of f⁻¹ is the range of f. So if f's y-values satisfy y ≥ 1, then f⁻¹'s allowable x-values satisfy x ≥ 1. The other choices are incorrect or misstated (3 confuses domain/range and uses y for the domain).
Reason: For an inverse, the domain of f⁻¹ is the range of f. So if f's y-values satisfy y ≥ 1, then f⁻¹'s allowable x-values satisfy x ≥ 1. The other choices are incorrect or misstated (3 confuses domain/range and uses y for the domain).
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