Find the Domain y-9=3/5x

Problem

y−9=3/(5*x)

Solution

1. Isolate the function by adding 9 to both sides to write the equation in terms of y

y=3/(5*x)+9

2. Identify restrictions by looking for values of x that would make the expression undefined. In a rational function, the denominator cannot be zero.

5*x≠0

3. Solve for x to find the excluded value from the domain.

x≠0

4. Determine the domain by including all real numbers except for the value that makes the denominator zero.

Domain={[x∈ℝ,x≠0]}

Final Answer

Domain=(−∞,0)∪(0,∞)

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