What is the domain of the function f(x) = 1/(x - 2)?
Correct Answer: All real numbers except 2
- Step 1: Identify the function given, which is f(x) = 1/(x - 2).
- Step 2: Look for values of x that would make the function undefined. This happens when the denominator is zero.
- Step 3: Set the denominator equal to zero: x - 2 = 0.
- Step 4: Solve for x: x = 2.
- Step 5: Since the function is undefined at x = 2, we cannot include this value in the domain.
- Step 6: The domain of the function is all real numbers except for x = 2.
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