Answer:
(0,-1),(1,0),(2,1),(3,2)
Step-by-step explanation:
We are given that a relation
y=x+1y=x+1
We have to find the four points contained in the inverse
The given function is linear function
Therefore,
Domain of function=R
Range of function=R
x=y-1x=y−1
Now, replace x by y and y replace by x
y=x-1y=x−1
Now, substitute y=f^{-1}(x)=f
−1
(x)
f^{-1}(x)=x-1f
−1
(x)=x−1
It is linear function and defined for all real values.
Substitute x=0
f^{-1}(0)=-1f
−1
(0)=−1
Substitute x=1
f^{-1}(1)=1-1=0f
−1
(1)=1−1=0
f^{-1}(2)=2-1=1f
−1
(2)=2−1=1
f^{-1}(3)=3-1=2f
−1
(3)=3−1=2
Therefore, four points contained in the inverse (0,-1),(1,0),(2,1) and (3,2)
Answer:
The average rate of change from x=0 to x=1 for f(x) is 0.
Step-by-step explanation:
We are given the function .
Now, the rate average rate of change of a function from to is given by .
As, we need the rate of change from x = 0 to x = 1.
So, we will find the values of f(0) and f(1).
i.e. i.e. f(0) = 3
and i.e. i.e. f(1) = 3
Thus, the rate of change from x=0 to x=1 is i.e. i.e. 0
Hence, the average rate of change from x=0 to x=1 for f(x) is 0.
Answer:
39
Step-by-step explanation:
g(x)= -2x+2 and f(x)= 3x^2+4
(g+f)(-3)
g(-3) = -2(-3) +2 = 6+2 =8
f(-3) = 3 (-3)^2 +4 = 3(9)+4 = 27+4 = 31
(g+f)(-3) = g(-3) + f(-3) = 8+31 = 39
let's firstly convert the mixed fractions to improper fractions and then proceed.
Answer:
300
Step-by-step explanation: