Question Detail

MTH 102 MTH 102 Past Questions Objective Question

Question

The function f(x) = 1/x is discontinuous at the point?
Options
A 0
Correct Answer
B 1
C 2
D 3
Correct Answer

Option A is the correct answer.

Detailed Explanation

A rational function f(x) = P(x) / Q(x) is discontinuous where its denominator Q(x) is equal to zero.For f(x) = 1/x, the denominator is x.Setting x = 0 makes the denominator zero, which means the function is undefined at x = 0.Therefore, the function f(x) = 1/x is discontinuous at x = 0.

Hint

A rational function is discontinuous where its denominator is zero.

Question Info