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

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi

let's fu(!

step-by-step explanation: