Consider this function. f of x is equal to start absolute value x minus 4 end absolute value plus 6 If the domain is restricted to the portion of the graph with a positive slope, how are the domain and range of the function and its inverse related?

For x ≥ 4, the graph of f(x) = |x − 4| + 6 has positive slope. On this portion, the function’s outputs are y ≥ 6, so its range is [6, ∞). An inverse swaps the original function’s domain and range, making the inverse’s domain x ≥ 6. Thus, choice C is correct.

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