SOLUTION: How do I find the domain of g(t) = The square root of 1-6^t

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: How do I find the domain of g(t) = The square root of 1-6^t      Log On


   

Question 939001: How do I find the domain of g(t) = The square root of 1-6^t
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
+g%28t%29+=++sqrt%281-6%5Et%29
1-6^t cannot be negative as sqrt of negative term is not valid
1-6%5Et+%3E=0
1%3E=6%5Et
hence t should be negative as 6 ^ negative = negative
negative term is always less than 1
if t= 0
6^0 = 1
hence t =0 is also the solution
hence domain = all negative terms + 0
= ( -infinity,0)