Find the Domain y=7/9x-2

Problem

y=7/(9*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

9*x−2=0

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

9*x=2

4. Divide both sides by 9 to isolate x

x=2/9

5. State the domain. Since the function is undefined at x=2/9 the domain consists of all real numbers except 2/9

Final Answer

Domain: *{x|x∈ℝ,x≠2/9}

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