Answer:
The limit of the function as x approaches to -1, is -1 and the option 4 is correct.
Step-by-step explanation:
According the the definition of limit, if,
Then the limit of function exist. Either the function is defined or not on the point a. If the at point a the value value of function is L, then the function is continuous.
From the given graph it is easily noticed that the value of f(x) approaches to -1 as x approaches to -1 from left or left. At x=-1 there is a open circle on (-1,-1), therefore this is not included in the function.
The value of f(x) is 2 at x=-1 because of the point (-1,-2).
Therefore the limit of the function exist and the limit of the function is -1.
Answer:7.3125
Step-by-step explanation:
9514 1404 393
Answer:
(g·f)(9) = 496
Step-by-step explanation:
One way to do this is to find the values of g(9) and f(9).
g(9) = (3x -1)x +14 = (3(9) -1)(9) +14 = 26(9) +14 = 248
f(9) = -(9) +11 = 2
Then ...
(g·f)(9) = g(9)·f(9) = 248·2
(g·f)(9) = 496
Answer:
x= - 2
Step-by-step explanation:
hello :
note : the equation of the axis symmetry for the parabola : y =ax²+bx+c
when : a≠ 0 is : x=- b/2a
in this exercice : a=1 and b=10
so : x= -10/2 = -5
Step-by-step explanation:
x1 = -5, x2 =3 , y1 = -4 , y2=1
- formula = square foot of (x2 -x1)^2 + (y2 -y1)^2
- sqare root of (3 +5)^2 + (1 +4)^2
- square root of (8)^2 + (5)^2
- square root of 64 + 25
- square root of 89
- = 9.43