Find the Domain y=-4/5x-2

Problem

y=−4/(5*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

5*x−2=0

3. Solve for x by adding 2 to both sides.

5*x=2

4. Divide both sides by 5 to isolate x

x=2/5

5. Determine the domain by excluding the value that makes the denominator zero. The domain consists of all real numbers except x=2/5

Final Answer

Domain: *{x|x∈ℝ,x≠2/5}

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