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What is the domain of the function f(x) = 1/(x - 2)?
What is the domain of the function f(x) = 1/(x - 2)?
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Practice Questions
1 question
Q1
What is the domain of the function f(x) = 1/(x - 2)?
x ≠ 2
x > 2
x < 2
All real numbers
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The function is undefined at x = 2, so the domain is all real numbers except 2.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the domain of the function f(x) = 1/(x - 2)?
Solution:
The function is undefined at x = 2, so the domain is all real numbers except 2.
Steps: 6
Show Steps
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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