Find the Domain 1=-5/9x+5

Problem

1=−5/(9*x+5)

Solution

1. Identify the type of function or equation. Since the variable x appears in the denominator of a fraction, the domain is restricted by the condition that the denominator cannot be zero.

2. Set the denominator equal to zero to find the excluded value of x

9*x+5=0

3. Solve for x by subtracting 5 from both sides.

9*x=−5

4. Divide both sides by 9 to isolate x

x=−5/9

5. State the domain by excluding the value that makes the denominator zero. The domain consists of all real numbers except x=−5/9

Final Answer

Domain:{x|x∈ℝ,x≠−5/9}

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