Finding the domain of g(x) = f(2x+3) when f(x) has domain [-1,5)

[George3]

Homework Statement

I have a review in Calc and the question was:
f(x) has a domain of [-1 , 5) Find the domain of g(x) = f(2x+3)

Homework Equations

The Attempt at a Solution

I got [-1 , 2)

 

[quantumdude]

If x=-1, then 2x+3=_______?
If x=2, then 2x+3=________?

Does that agree with the domain of f?

 

[HallsofIvy]

For what value of x is 2x+ 3= -1? For what value of x is 2x+ 3= 5?