Find the Domain 5x=955x-5

Problem

ƒ(x)=(5*x)/(955*x−5)

Solution

1. Identify the condition for the domain of a rational function. The domain consists of all real numbers except those that make the denominator equal to zero.

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

955*x−5=0

3. Solve for x by adding 5 to both sides of the equation.

955*x=5

4. Divide both sides by 955 to isolate x

x=5/955

5. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5

x=1/191

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

Final Answer

Domain: *{x|x∈ℝ,x≠1/191}

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