SOLUTION: Find the domain and range of the INVERSE of the given function. f(x)=square root x-3 (all under square root) A. Domain: all real numbers; range [3, infinity) b. domain:[0, inf

Algebra ->  Functions -> SOLUTION: Find the domain and range of the INVERSE of the given function. f(x)=square root x-3 (all under square root) A. Domain: all real numbers; range [3, infinity) b. domain:[0, inf      Log On


   

Question 243700: Find the domain and range of the INVERSE of the given function.
f(x)=square root x-3 (all under square root)
A. Domain: all real numbers; range [3, infinity)
b. domain:[0, infinity); range [3,infinity)
c. domain and range all real numbers
d. domain: [3,infinity); range [0,infinity)
I think the answer is A.
thanks
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The domain of f%28x%29=sqrt%28x-3%29 is [) and the range is [). We can find out this information from the graph


Graph of f%28x%29=sqrt%28x-3%29


To find the domain and range for the inverse, simply swap the domain and range from the original function f(x).


So the domain of the inverse function is [) and the range of the inverse function is [). So the answer is B)