2 years ago

What is the answer? A. B. C. D.

Mathematics

1 answer:

mina [271]2 years ago

5 0

Answer:

something

Step-by-step explanation:

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2 years ago

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

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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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