SOLUTION: Consider the function j(x)=(square root of x)squared. (a) What is the natural domain of j? (b) Find the range of j using the natural domain. The textbook has no examples a

Algebra ->  Rational-functions -> SOLUTION: Consider the function j(x)=(square root of x)squared. (a) What is the natural domain of j? (b) Find the range of j using the natural domain. The textbook has no examples a      Log On


   

Question 356042: Consider the function j(x)=(square root of x)squared.
(a) What is the natural domain of j?
(b) Find the range of j using the natural domain.
The textbook has no examples and the teacher didn't explain it well.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a) The domain of sqrt%28x%29 is x%3E=0 since you can't take the square root of a negative number. So the domain of j%28x%29=%28sqrt%28x%29%29%5E2 is also x%3E=0


b) To find the range, you can either graph j%28x%29=%28sqrt%28x%29%29%5E2 and note the possible y values, or you can find the inverse function and find the domain of that inverse function. Either way, you'll find that the range is j%28x%29%3E=0