The problem
how to find domain and range y=e^x+5
Answer provided by our tutors
The web solver does not have specific wizards for tailored entries such as the "Domain of a function" wizard in the desktop software. The domain of a function can be found, however, by solving portions of the function to find "legal values". For example, if the expression contains a radical, then you want to solve for values inside the radical that are greater than or equal to zero (since negative numbers are not allowed inside radicals).
The other thing to look for are denominators of fractions, checking for values that make the denominator not equal to zero. As an example, consider the expression "(x+3)/(x-3)". Isolating the denominator and setting it equal to zero, shows that x=3 can not be a part of the domain since "x-3=0" solves to "x=3"... so if x=3, then the denominator is equal to zero and that is not legal. The domain would then be expressed as (-inf, 3) U (3, inf).
As an example for a radical, consider "sqrt(x-3)", we solve for "x-3>=0" and obtain "x>=3", so the domain of this expression is [3, inf).
So your problem is valid for all 'x' values and approaching that problem is best suited for standard Algebrator, which contains "Function Wizards" specifically designed for such problems. Finally, make certain the 'e' indicates a variable or, if not, use the 'e' symbol (the numeric exponent constant).