Find the Domain y=3(1/2)^x

Problem

y=3*(1/2)x

Solution

1. Identify the type of function. The given equation is an exponential function of the form y=a⋅bx where a=3 and b=1/2

2. Determine any restrictions on the input variable x In an exponential function, the exponent x can be any real number because there are no divisions by zero, no square roots of negative numbers, and no logarithms of non-positive numbers.

3. Conclude the set of all possible values for x Since there are no restrictions, the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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