SOLUTION: Please find the h(f(x)) and its domain. would you please show me your work h(x)=radical2x-1 +3

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Question 151486: Please find the h(f(x)) and its domain. would you please show me your work
h(x)=radical2x-1 +3
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Well, what is ?

Do you want to find the domain of h(x)?

Start with the given expression

Remember you cannot take the square root of a negative value. So that means the argument must be greater than or equal to zero

Set the inner expression greater than or equal to zero

Add 1 to both sides

Combine like terms on the right side

Divide both sides by 2 to isolate x

So that means x must be greater than or equal to in order for x to be in the domain

So the domain of h(x) in interval notation is [)

Also, the domain of h(x) in set-builder notation is