What are the discontinuity and zero of the function f(x) = x^2 + 8x + 7 / x + 1 Question What are the discontinuity and zero of the function f(x) = x^2 + 8x + 7 / x + 1 in progress 0 Math Josephine 28 mins 2021-10-13T06:17:07+00:00 2021-10-13T06:17:07+00:00 2 Answers 0

## Answers ( )

Answer:– Discontinuity at (-1,6)– The zero is at (-7,0)Step-by-step explanation:Then, the denominator is zero when

Therefore, does not belong to the Domain of the function. Then, (-1,6) is a discontinuity point.

Simplifying, you get:

You can observe that a linear function is obtained.

This function is equal to zero when , therefore the zero of the function is at (-7,0).

ANSWER

Discontinuity:

Zero:

EXPLANATION

The given rational function is

We factor function to obtain:

This function is not continuous when

The function is not continuous at

When we simplify the function, we get;

The zero(s) occur at