## PLS ANSWER! WILL GIVE BRAINLIEST! Determine if the given function has any points of discontinuity. Explain your reasoning.

Question

PLS ANSWER! WILL GIVE BRAINLIEST!
Determine if the given function has any points of discontinuity. Explain your reasoning.

f(x) = (x^2-b^2)/(x-b)

A. There is a point of discontinuity at x = b because the denominator has the factor x – b.
B. There are points of discontinuity at both x = – b and x = b because the numerator has factors of x + b and x – b.
C. There is a point of discontinuity at x = b only because the factor of x – b is common to both the numerator and denominator.
D. There is a point of discontinuity at x = –b only because the factor of x – b is common to both the numerator and denominator and factors out.

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2 weeks 2021-09-09T12:25:49+00:00 2 Answers 0

## Answers ( )

1. Answer:

C) There is a point of discontinuity at x = b only because the factor of x – b is common to both the numerator and denominator.

Step-by-step explanation:

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2. Answer:

C. There is a point of discontinuity at x = b only because the factor of x – b is common to both the numerator and denominator.