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)
The domain- Is the function provides an "output" or value for each member of the domain
Range- The difference between the lowest and highest values.
Answer:
c.) 36cm
Step-by-step explanation:
:))
Answer:
C. 88
Explanation:
f(x) = 4x + 8 || g(x) = x² + x
fg( -5 )
go from right to left in such function problems.
replace x with [ -5 ]
f( (-5)² -5)
f(20)
[ replace x with 20 ]
4(20) + 8
80 + 8
88
Answer:
1) 8 : 343
2) 42.875 or 42 ⅞
3) 4 : 49
4) 16ft²
Step-by-step explanation:
Volume of cube: s³
Surface area of cube: 6s²
_____________________
32ft^3 and 1372ft^3 →
32 : 1372 = 8 : 343
343 / 8 = 42 ⅞ = 42.875
s³ → 6s²
s³ = 8, s = 2, s² = 4.
s³ = 343, s = 7, s² = 49.
These are proportional so it is already in the simplest ratio so it is not necessary to multiply by 6.
s³ → 8 : 343
6s² → 4 : 49
(4 / 49) × 196ft² = 16ft²
