SOLUTION: y=2^(1/x) a) Find the domain b) what value(s) can't 1/x take? Hence, find the range.

Algebra ->  Functions -> SOLUTION: y=2^(1/x) a) Find the domain b) what value(s) can't 1/x take? Hence, find the range.       Log On


   

Question 1048784: y=2^(1/x)
a) Find the domain
b) what value(s) can't 1/x take? Hence, find the range.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
a) The domain is fairly easy: (-infinity, 0)∪(0, infinity).

b) 1/x cannot take on the value of 0. Since 2%5E%281%2Fx%29+%3E+0 for all other values of 1/x, the range is (0,1)∪(1,infinity).