Question

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?
Since the domain of the original function is limited to x 6, the range of the inverse function is y s6.
Since the domain of the original function is limited to x> 4. the range of the inverse function is ys 1.
Since the range of the original function is limited to y > 6, the domain of the inverse function is x 26
Since the range of the original function is limited to y 4, the domain of the inverse function is x 1.​

Answer 1

Answer:

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:

Answer 2

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

What is the domain of an inverse function?

The domain of the inverse of a relation is the same as the range of the original relation. In other words, the y-values of the relation are the x-values of the inverse.

What is a positive slope?

The positive slope definition tells us that a line with a positive slope is one where the right side of the line is higher than the left side of the line.

So, by the definition given above, we see that

if the range of the original function is limited to y > 6, the domain of the inverse function is x >= 6.

Learn more about the domain of inverse functions on:

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