SOLUTION: Hi I need help finding the domain for this problem. F(x)= 10-√3-x The answer in the book is x≤3 but I'm not understanding it. Thanks!

Algebra ->  Equations -> SOLUTION: Hi I need help finding the domain for this problem. F(x)= 10-√3-x The answer in the book is x≤3 but I'm not understanding it. Thanks!      Log On


   

Question 784556: Hi I need help finding the domain for this problem. F(x)= 10-√3-x
The answer in the book is x≤3 but I'm not understanding it. Thanks!
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
F%28x%2910-sqrt%283-x%29 cannot be calculated for values that make 3-x%3C0 because negative numbers do not have a real square root.
If x%3E=3 --> x-3%3E=0 and the F%28x%29 can be calculated.
For any other value of x,
x%3C3 --> x-3%3C0, and the function does not exist (it is not defined).
The function exists only when x%3E=3 and that is the domain of the function.