Domain of the Function h(x) = 10^(1+x)
To determine the domain of the function h(x) = 10^(1+x), we need to identify the set of real values of x for which the function is defined.

Understanding the Function
The function h(x) = 10^(1+x) can be rewritten as h(x) = 10 * 10^x. This function represents an exponential growth where the base is 10.

Domain of the Function
The domain of the function h(x) = 10^(1+x) is the set of all real numbers for which the function is defined. In this case, the function is defined for all real values of x.
Since the base of the exponential function is 10, the function is defined for all real values of x. This is because any real number raised to any power is always defined.
Therefore, the domain of the function h(x) = 10^(1+x) is all real numbers. In interval notation, this can be expressed as (-∞, ∞).

Conclusion
In conclusion, the domain of the function h(x) = 10^(1+x) is all real numbers. This means that the function is defined for any real value of x. The exponential function with a base of 10 allows for the function to be defined for all real numbers.