Which statement best describes f (x) = negative 2 StartRoot x minus 7 EndRoot + 1?

Mathematics

2 answers:

zheka24 [161]3 years ago

8 0

Answer:

Option B.

Step-by-step explanation:

The given function is

$f(x)=-2\sqrt{x-7}+1$

The above function is defined if (x-7) is greater than 0.

$x-7\geq 0$

Add 7 on both sides.

$x\geq 7$

It is means domain of the function is $[7,\infty)$ . So, -6 is not in domain.

We know that

$\sqrt{x-7}\geq 0$

Multiply both sides by -2. So, the sign of inequality will change.

$-2\sqrt{x-7}\leq 0$

Add 1 on both sides.

$-2\sqrt{x-7}+1\leq 0+1$

$f(x)\leq 1$

It is means range of the function is $(-\infty,1]$ . So, -6 is in Range.

Since –6 is not in the domain of f(x) but is in the range of f(x), therefore the correct option is B.

devlian [24]3 years ago

5 0

Answer:

Step-by-step explanation:

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