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.

answer: (yeees, you need a poet.)

//blooming serenity//

beautiful in the morning

mysterious at night

wonderous nature souring

with all it's mystical might

the flower that blooms

to the fox that looms

nocturnal creatures

with various features

a blooming flower soon in sight

as a new little hatchling fears to take flight  

afraid to leave it's calming nest,

but dear little bird, mother knows best

as sure as there are stars in the sky,

life is not about who, where what, when or why-

it's the journey that follows

adventures we swallow

of   nature's deep wonders,

natural disasters and storm's thunders.

blooming serenity

life and nature, truly is heavenly.

-kerstien lehman

step-by-step explanation:

the answer is 8.64

step-by-step explanation: