Question

What are the domain and range of n(x)=-2*square root of x - 1

Answer 1

\(n(x)=-2\sqrt{x-1}\)

The domain is a set of x that won't make the function undefined. In this case, the function will be undefined if x -1 < 0 which is x < 1. Therefore, the domain will be \(x>=1\).

The range is the value that y can take. In this case, the range will be \((-\infty,0]\).