Answer:
-6 is not in the domain of f(x) but is in the range of f(x)
Step-by-step explanation:
we have
[tex]f(x)=-2\sqrt{x-7}+1[/tex]
Find the domain of the function
we know that the radicand must be greater than or equal to zero
so
[tex]x-7\geq 0\\ \\x\geq 7[/tex]
The domain is all real numbers greater than or equal to 7
The range is the interval -----> (-∞,1]
[tex]y\leq1[/tex]
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)
