Find the Domain y=2/3x-3

Problem

y=2/(3*x−3)

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

3*x−3=0

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

3*x=3

4. Divide both sides by 3 to isolate x

x=1

5. Determine the domain. Since the function is undefined at x=1 the domain consists of all real numbers except 1

Final Answer

Domain: *{x|x∈ℝ,x≠1}

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