Which statement best describes f (x) = negative 2 StartRoot x minus 7 EndRoot + 1? –6 is in the domain of f(x) but not in the range of f(x).

–6 is not in the domain 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).

Option B.

Step-by-step explanation:

The given function is

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

Add 7 on both sides.

It is means domain of the function is . So, -6 is not in domain.

We know that

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

Add 1 on both sides.

It is means range of the function is . 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.

m∠a is 90°

m∠b is 40°

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.