Find the Domain y=3/5x-4

Problem

y=3/(5*x−4)

Solution

1. Identify the restriction for a rational function, which is that the denominator cannot be equal to zero.

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

5*x−4=0

3. Solve for x by adding 4 to both sides of the equation.

5*x=4

4. Divide both sides by 5 to isolate x

x=4/5

5. State the domain as all real numbers except for the value that makes the denominator zero.

Final Answer

Domain: *{x|x∈ℝ,x≠4/5}

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