Find the Domain h(x)=|2x-1|

Problem

h(x)=|2*x−1|

Solution

1. Identify the type of function. The function h(x)=|2*x−1| is an absolute value function.

2. Analyze the expression inside the absolute value. The expression 2*x−1 is a linear polynomial.

3. Determine if there are any restrictions. Polynomials are defined for all real numbers, and the absolute value operation can be applied to any real number.

4. Conclude that there are no values of x that would result in division by zero or the square root of a negative number.

5. State the domain in interval notation. Since x can be any real number, the domain is (−∞,∞)

Final Answer

Domain:(−∞,∞)

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