Find the Domain |3a+5|=|4a-9|

Problem

|3*a+5|=|4*a−9|

Solution

1. Identify the nature of the expression. The given equation |3*a+5|=|4*a−9| is an absolute value equation involving a single variable a

2. Determine the domain of the expressions. The expressions 3*a+5 and 4*a−9 are linear polynomials.

3. Recall the domain of polynomial functions. Polynomials are defined for all real numbers.

4. Apply the definition of absolute value. The absolute value function |x| is defined for all real numbers x

5. Conclude that there are no restrictions such as denominators that could be zero or square roots of negative numbers. Therefore, the variable a can take any real value.

Final Answer

Domain: *(−∞,∞)

Want more problems? Check here!