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Neko [114]
3 years ago
10

Which statement best describes f(x)= -2 √x-7 +1 –6 is in the domain of f(x) but not in the range of f(x). –6 is not in the domai

n of f(x) but is in the range of f(x). –6 is in the domain of f(x) and in the range of f(x). –6 is neither in the domain of f(x) nor in the range of f(x).
Mathematics
1 answer:
Archy [21]3 years ago
5 0

Answer:

B. -6 does not belong to the domain but belongs to the range of f(x).

Step-by-step explanation:

We have the function, f(x)=-2\sqrt{x-7}+1.

So, the domain of the function is obtained when x-7\geq 0 i.e. x\geq 7

That is, the domain is {x | x≥ 7}.

Now as we have,

x\geq 7 → x-7\geq 0 → \sqrt{x-7} \geq 0 → -2\sqrt{x-7} \leq 0 → -2\sqrt{x-7}+1 \leq 1.

That is, f(x)\leq 1

Thus, the range of the function f(x) is {y | y≤ 1}.

Thus, we can see that,

-6 does not belong to the domain but belongs to the range of f(x).

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<u><em>Note: I think you may have unintentionally missed to mention the amount of total sweaters for which we have to measure the cost. So, after a little research, I was able to find the complete question. So, I will answer your question based on the following completing question. Anyways, it would clear your concept hopefully.</em></u>

Here is the complete question:

<em>Sweaters cost $42 each. For every 5 sweaters You buy,You get 1 sweater free. How much will a total of 30 sweaters cost?  </em>

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Step-by-step explanation:

What to determine?

How much will a total of 30 sweaters cost?

Information Fetching and Solution Steps:

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<em>Keywords: cost</em>

<em> Learn more cost problems from brainly.com/question/13005346</em>

<em> #learnwithBrainly</em>

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