Find the Domain f(x)=100(1.25)

Problem

ƒ(x)=100*(1.25)x

Solution

1. Identify the type of function. The given function ƒ(x)=100*(1.25)x is an exponential function of the form ƒ(x)=a*bx

2. Determine the restrictions on the variable x In an exponential function where the base b is a positive constant (1.25>0, the exponent x can be any real number.

3. Analyze for potential undefined values. There are no denominators that could be zero and no even-indexed roots of negative numbers.

4. Conclude the domain. Since there are no restrictions, the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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