Which of the following statements is true about the function f(x) = 1/(x-1)? (20

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Question: Which of the following statements is true about the function f(x) = 1/(x-1)? (2022)

Options:

Correct Answer: Not continuous at x = 1

Exam Year: 2022

Solution:

The function f(x) = 1/(x-1) is not continuous at x = 1 because it is undefined there.

Which of the following statements is true about the function f(x) = 1/(x-1)? (2022)

Which of the following statements is true about the function f(x) = 1/(x-1)? (2022)

Step 1: Identify the function given, which is f(x) = 1/(x-1).
Step 2: Determine where the function might be undefined. This happens when the denominator is zero.
Step 3: Set the denominator (x - 1) equal to zero: x - 1 = 0.
Step 4: Solve for x: x = 1. This means the function is undefined at x = 1.
Step 5: Understand that a function is not continuous at points where it is undefined.
Step 6: Conclude that f(x) = 1/(x-1) is not continuous at x = 1 because it cannot take a value there.

No concepts available.