SOLUTION: Perhaps if I could know how to do a problem like this one, I could figure out how to do the others like this. Thanks for any help. Find the domain of the expression. {{{ t^3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Perhaps if I could know how to do a problem like this one, I could figure out how to do the others like this. Thanks for any help. Find the domain of the expression. {{{ t^3      Log On


   

Question 72215: Perhaps if I could know how to do a problem like this one, I could figure out how to do the others like this. Thanks for any help.
Find the domain of the expression.
+t%5E3-4t%5E2%2B1+
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The domain is all allowable inputs that will result in the function outputting a real number. If I can plug in a number for a function and get an answer (a real number) then that number is in my domain. Since any real number can work in +t%5E3-4t%5E2%2B1+ (it's not the same for all equations) the domain is x is the set of all real numbers (any number will work). Problems like 1/x are somewhat similar but with one big difference. If I put 0 in for x I get 1/0, which is not possible. Think, what number do I multiply 0 by to get 1 ? There is no such number (0*anything is always 0), so 0 is not in my domain.