Find the domain of the following function:
y = x3 − 8

x2 + 5x + 6

Select the appropriate response:
A) domain: x cannot equal −3, −2
B)domain: x equals −3, −2
C) None of the above

A

Step-by-step explanation:

Factor x^2 + 5x +6 then solve for x

Vertical asymptotes are at -3 and -2, so x cannot equal -3 and -2 for the domain

3rd box is the answer

step-by-step explanation:

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)