Find the Domain f(x)=(7x-6)/(x-2)

Problem

ƒ(x)=(7*x−6)/(x−2)

Solution

1. Identify the type of function, which is a rational function.

2. Determine the restriction for the domain by setting the denominator equal to zero, as division by zero is undefined.

x−2=0

3. Solve for x to find the excluded value.

x=2

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

{x|x≠2}

Final Answer

Domain: *(−∞,2)∪(2,∞)

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