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If f(x) = 1/(x-1), what is the point of discontinuity?
If f(x) = 1/(x-1), what is the point of discontinuity?
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Practice Questions
1 question
Q1
If f(x) = 1/(x-1), what is the point of discontinuity?
x = 0
x = 1
x = -1
x = 2
Show Solution
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The function is discontinuous at x = 1 because it leads to division by zero.
Questions & Step-by-step Solutions
1 item
Q
Q: If f(x) = 1/(x-1), what is the point of discontinuity?
Solution:
The function is discontinuous at x = 1 because it leads to division by zero.
Steps: 5
Show Steps
Step 1: Identify the function given, which is f(x) = 1/(x-1).
Step 2: Look for values of x that make the denominator zero. In this case, the denominator is (x-1).
Step 3: Set the denominator equal to zero: x - 1 = 0.
Step 4: Solve for x: x = 1.
Step 5: Conclude that the function is discontinuous at x = 1 because division by zero is not allowed.
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