Answer:
Step-by-step explanation:
as you can see something amazing happens in 10 in this function . If you replace x with 10 you get 1/0 wich an indetermined form in Mathematics.
Now we are sure that there is a vertical asymptote in 10. Let's see identify the limit in the left of 10.
let's assign some values to x that are smaller than 10.
1. x=9
1/(9-10)= -1
a negative value
2. x=8
1/(8-10)= -1/2
a negative value
let try a reallu colse value to 10 like 9.99
1/(9.99-10)=-100
a negative value
so we can deduce that the limit is -∞
lim [1/(x-10)]=-∞
x→10-
Answer:
x=-5
Step-by-step explanation:
opening the bracket on the LHS, we have
-8x-40= -3x+x-7-3
-8x-40= -2x-10
collecting like terms
-8x+2x= -10+40
-6x= 30
divide both sides by -6
x= -5
