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
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
.
Answer:

Step-by-step explanation:
Let
n -----> number of tickets
C ----> represent the cost of buy n tickets online
we have the ordered pairs
(1,16.50) and (2,30.50)
<em>Find out the slope of the linear equation</em>
The formula to calculate the slope between two points is equal to
substitute the values
<em>Find the equation of the line in slope intercept form</em>

we have

substitute



substitute

The domain of the function is all positive integers (whole numbers) including zero
{0,1,2,3,4,...}
Since 7 is greater than 5, you input it into the last equation.
2•(7) -7
14-7
7
The answer is 7!