Find the Domain y=1/8x+7

Problem

y=1/(8*x+7)

Solution

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

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

8*x+7=0

3. Solve for x by subtracting 7 from both sides.

8*x=−7

4. Divide both sides by 8 to isolate x

x=−7/8

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

Final Answer

Domain: *{x|x∈ℝ,x≠−7/8}

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