Question

Which statement best describes f(x)= -2 sqrt (x-7)+1

Answer 1

B is the right choice. -6 is not the domain of f(x) but is in the range of f(x)

Answer 2

-6 is not in the domain of f(x) but is in the range of f(x)

Explanation:

we have

`f(x)=-2√(x-7)+1`

Find the domain of the function

we know that the radicand must be greater than or equal to zero

so

`x-7\geq 0\\ \\x\geq 7`

The domain is all real numbers greater than or equal to 7

The range is the interval -----> (-∞,1]

`y\leq1`

All real numbers less than or equal to 1

see the attached figure to better understand the problem

therefore

The statement that best describes the function f(x) is

-6 is not in the domain of f(x) but is in the range of f(x)