Question 72215
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^3-4t^2+1 }}} (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.