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

Problem

y=3/(2(x2))

Solution

1. Identify the potential restrictions for the domain of the function. In a rational function, the denominator cannot be equal to zero.

2. Analyze the denominator expression 2(x2) An exponential function with a positive base, au where a>0 is always strictly positive for all real values of u

3. Solve the inequality 2(x2)≠0 Since 2 raised to any power is always greater than zero, there are no values of x that would make the denominator zero.

4. Determine the domain based on the lack of restrictions. Since the expression is defined for all real numbers, the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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