Find the Domain y=3/4x+2

Problem

y=3/(4*x+2)

Solution

1. Identify the type of function. This is a rational function, which is defined for all real numbers except where the denominator is equal to zero.

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

4*x+2=0

3. Solve for x by subtracting 2 from both sides.

4*x=−2

4. Divide both sides by 4 to isolate x

x=−2/4

5. Simplify the fraction.

x=−1/2

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

Final Answer

Domain: *{x|x∈ℝ,x≠−1/2}

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