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

Question

asked Jun 10, 2020 159k views

2 Answers

Bydsky · Answer 1 · 2020-06-16T14:54:09+0000

Answer:

-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)