SOLUTION: find the domain of the function g(x)=sqrt(5x+5) what is the domain of g? type answers in interval notation.

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Question 307293: find the domain of the function
g(x)=sqrt(5x+5)
what is the domain of g?
type answers in interval notation.

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
g%28x%29+=+sqrt%285x%2B5%29

The restriction here is due to the fact that there is a square root in the function. The RADICAND must be greater than or equal to zero.
That is, 5x%2B5%3E=0
5x%3E=-5
x%3E=-1

In interval notation, this is [-1,inf).

Please see my own website at "www2.seminolestate.edu/rrapalje". Look for the link on my Homepage "MATH IN LIVING COLOR", and look under either Intermediate (Chapter 5) OR College Algebra (Chapter 2).

I also have a video of my own teaching in class a few years ago. To see the videos, look for "Rapalje Videos in Living Color", and see either Intermediate or College Algebra for the topic "Functions, Domain, and Range".

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus