What are the discontinuity and zero of the function f(x) = x^2 + 8x + 7 / x + 1

- Discontinuity at (-1,6)

 - The zero is at (-7,0)

Step-by-step explanation:

Given the function , you need to factor the numerator. Find two number whose sum be 8 and whose product be 7. These are 1 and 7, then:

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

go on the tube you might find some information there

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right