Find the Domain f(x)=0.8^x

Problem

ƒ(x)=0.8

Solution

1. Identify the type of function. The given function ƒ(x)=0.8 is an exponential function of the form ƒ(x)=bx where the base b=0.8

2. Determine the restrictions on the exponent. For any exponential function with a positive base b>0 the exponent x can be any real number.

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

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

Final Answer

Domain:(−∞,∞)

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