Find the Domain x/(4x+9)

Problem

x/(4*x+9)

Solution

1. Identify the condition for the domain of a rational function. A rational function is defined for all real numbers except where the denominator is equal to zero.

2. Set the denominator equal to zero to find the excluded values.

4*x+9=0

3. Solve for x by subtracting 9 from both sides.

4*x=−9

4. Divide both sides by 4 to isolate x

x=−9/4

5. State the domain by excluding this value from the set of all real numbers.

Final Answer

Domain: *{[x∈ℝ,x≠−9/4]}

Want more problems? Check here!