We have been given a quadratic function 
and we need to restrict the domain such that it becomes a one to one function.
We know that vertex of this quadratic function occurs at (5,2).
Further, we know that range of this function is 
.
If we restrict the domain of this function to either ![(-\infty,5]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C5%5D)
or 
, it will become one to one function.
Let us know find its inverse.
Upon interchanging x and y, we get:
Let us now solve this function for y.
Hence, the inverse function would be 
if we restrict the domain of original function to and the inverse function would be 
if we restrict the domain to .
129,407 because 12 ten thousands is 120,000 and 8 thousands is 8,000. 14 hundreds is 1,400 and 7 ones is 7 so 120,000+8,000+1,400+7=129,407
Answer:
A ∩ B = {4, 6}
Step-by-step explanation:
A die had 6 faces
S = {1, 2, 3, 4, 5, 6}
If A be the event of rolling an even number, then;
A = {2, 4, 6}
If B be the event of rolling a number greater than 3, then;
B = {4, 5, 6}
A ∩ B are the values that are common to both sets
A ∩ B = {4, 6}
Answer:
C = 3
Step-by-step explanation:
Answer:
x = 16
Step-by-step explanation:
The two angles are vertical angles, which means they are equal
3x-3 = 2x+13
Subtract 2x from each side
3x-3-2x =2x-2x+13
x-3 =13
Add 3 to each side
x-3+3 =13+3
x = 16
