Consider this function.
f(x) = |x – 4| + 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?

1.since the domain of the original function is limited to x> 6, the range of the inverse function is y ≤ 6.
2.since the domain of the original function is limited to x> 4, the range of the inverse function is y ≤ 1.
3.since the range of the original function is limited to y> 6, the domain of the inverse function is x ≥ 6.
4.since the range of the original function is limited to y> 4, the domain of the inverse function is x ≥ 1.

3. Since the range of the original function is limited to y> 6, the domain of the inverse function is x ≥ 6.

Step-by-step explanation:

The domain of a function is the range of its inverse, and vice versa. The only answer choice that expresses this relationship is choice 3.

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Comment on the answer choice:

The slope of the function is undefined at x=4, so restricting the function domain to the portion with positive slope means the domain restriction of the function is x > 4. That also means the range restriction of the function is y > 6. The domain restriction of the inverse function is the same: x > 6, not x ≥ 6. The answer choice has an error.

just take the area of the square and then the area of the circle then subtract the circle area from the squares area

step-by-step explanation: