Question

What is the domain of (see more)

Answer 1

f(x)=\[\sqrt{x-4}\]

Answer 2

its shifted right 4 so ?

Answer 3

Whenever you're dealing with any even root, the thing to think about is that the expression under the radical sign must be nonnegative. So you need to make sure that:

\(x-4\ge0\)

Just solve that inequality, and that gives you your domain.

Answer 4

Right, as @macknojia suggests, if you are familiar with the graph of \(y=\sqrt{x}\), and with transformations, then you can just view this as a rightward shift of that graph so you can get the domain that way.

The algebraic method I suggested will work for functions where the graph might not be quite so obvious,though.

Answer 5

ohhh thanks so much!