Question

I can't figure it out ​

Answer 1

Answer:

Domain: x ≥ 7

Range: y ≥ -1

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

Range is the set of y-values that can be outputted from function f(x).

We know that we can't take a square root of a negative and get a real number. The closest we can get is the square root of zero, no less.

What x-value renders the square root 0? x = 7 does, and we can't go less than that or we will get imaginary numbers. Therefore, the domain is x ≥ 7.

To find the range, we simply solve the rest of the function when x = 7, as we cannot go any lower.

y = 0 - 1

y = -1

Therefore, our range has to be y ≥ -1 because that would be the lowest y-value outputted from the lowest x-value.