Find the Domain (9x-36)/(7x-28)

Problem

(9*x−36)/(7*x−28)

Solution

1. Identify the condition for the domain of a rational function, which requires that the denominator cannot be equal to zero.

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

7*x−28=0

3. Solve for x by adding 28 to both sides of the equation.

7*x=28

4. Divide both sides by 7 to isolate the variable.

x=4

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

Final Answer

Domain:{x|x∈ℝ,x≠4}

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