Find the Domain y=5(3^x)+1

Problem

y=5*(3)+1

Solution

1. Identify the type of function. The given equation y=5*(3)+1 is an exponential function where the variable x is in the exponent.

2. Analyze the restrictions for exponential expressions. For any expression of the form bx where the base b is a positive constant (b=3 in this case), the exponent x can be any real number.

3. Check for other constraints. There are no denominators that could be zero and no square roots of negative numbers in the expression.

4. Determine the domain. Since there are no values of x that make the expression undefined, the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

Want more problems? Check here!