Find the Domain y=2/5x+4

Problem

y=2/(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 subtracting 4 from both sides.

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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